Hg
Name: Class 8 Date:
___________________________________________________________________________________________________________________________________
___________________________________________________________________________________________________________________________________
The Hg Classes (8
th
to 12
th
) By: Er Hershit Goyal (B.Tech. IIT BHU), 134-SF, Woodstock Floors, Nirvana Country, Sector 50, GURUGRAM +91 9599697178.
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Understanding Quadrilaterals - 2
Q1.
Q2.
Hg
Name: Class 8 Date:
___________________________________________________________________________________________________________________________________
___________________________________________________________________________________________________________________________________
The Hg Classes (8
th
to 12
th
) By: Er Hershit Goyal (B.Tech. IIT BHU), 134-SF, Woodstock Floors, Nirvana Country, Sector 50, GURUGRAM +91 9599697178.
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Q3.
Q4.
Hg
Name: Class 8 Date:
___________________________________________________________________________________________________________________________________
___________________________________________________________________________________________________________________________________
The Hg Classes (8
th
to 12
th
) By: Er Hershit Goyal (B.Tech. IIT BHU), 134-SF, Woodstock Floors, Nirvana Country, Sector 50, GURUGRAM +91 9599697178.
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Q5
Hg
Name: Class 8 Date:
___________________________________________________________________________________________________________________________________
___________________________________________________________________________________________________________________________________
The Hg Classes (8
th
to 12
th
) By: Er Hershit Goyal (B.Tech. IIT BHU), 134-SF, Woodstock Floors, Nirvana Country, Sector 50, GURUGRAM +91 9599697178.
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Q6.
Q7.
Hg
Name: Class 8 Date:
___________________________________________________________________________________________________________________________________
___________________________________________________________________________________________________________________________________
The Hg Classes (8
th
to 12
th
) By: Er Hershit Goyal (B.Tech. IIT BHU), 134-SF, Woodstock Floors, Nirvana Country, Sector 50, GURUGRAM +91 9599697178.
fb.me/thehgclasses linkedin.com/company/the-hg-classes instagram.com/the_hg_classes g.page/the-hg-classes-gurugram thehgclasses.co.in
Q8.
Q9.
Hg
Name: Class 8 Date:
___________________________________________________________________________________________________________________________________
___________________________________________________________________________________________________________________________________
The Hg Classes (8
th
to 12
th
) By: Er Hershit Goyal (B.Tech. IIT BHU), 134-SF, Woodstock Floors, Nirvana Country, Sector 50, GURUGRAM +91 9599697178.
fb.me/thehgclasses linkedin.com/company/the-hg-classes instagram.com/the_hg_classes g.page/the-hg-classes-gurugram thehgclasses.co.in
Q10.
Q11.
Hg
Name: Class 8 Date:
___________________________________________________________________________________________________________________________________
___________________________________________________________________________________________________________________________________
The Hg Classes (8
th
to 12
th
) By: Er Hershit Goyal (B.Tech. IIT BHU), 134-SF, Woodstock Floors, Nirvana Country, Sector 50, GURUGRAM +91 9599697178.
fb.me/thehgclasses linkedin.com/company/the-hg-classes instagram.com/the_hg_classes g.page/the-hg-classes-gurugram thehgclasses.co.in
Q12.
Q13.
Hg
Name: Class 8 Date:
___________________________________________________________________________________________________________________________________
___________________________________________________________________________________________________________________________________
The Hg Classes (8
th
to 12
th
) By: Er Hershit Goyal (B.Tech. IIT BHU), 134-SF, Woodstock Floors, Nirvana Country, Sector 50, GURUGRAM +91 9599697178.
fb.me/thehgclasses linkedin.com/company/the-hg-classes instagram.com/the_hg_classes g.page/the-hg-classes-gurugram thehgclasses.co.in
Q14.
Q15.
Hg
Name: Class 8 Date:
___________________________________________________________________________________________________________________________________
___________________________________________________________________________________________________________________________________
The Hg Classes (8
th
to 12
th
) By: Er Hershit Goyal (B.Tech. IIT BHU), 134-SF, Woodstock Floors, Nirvana Country, Sector 50, GURUGRAM +91 9599697178.
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Answers:
1) a) Octagon
b) Int Angle = (n-2)*180/n
= 6*180/8
= 1080/8
= 135 degrees
2) The bottom angle will also be 2x (Alt. Int. Angles)
2x + x + 5x = 180 (Linear Pair)
8x = 180
x = 180/8
= 90/4 = 22.5 degrees
3) x + x + 40 = 180 (ASP in tr. ABD)
2x = 140
x = 70
DBC + 70 + 30 = 180 (Linear Pair)
DBC = 80
(i) y + y + 80 = 180 (ASP in tr. DCB)
2y = 100
y = 50 (BCD)
(ii) angle DCB = 50
angle CBE = 30
Since, alt int angles are not equal, therefore, DC is not || to AE
4) 360/n = 5n/2
720 = 5n*n
n*n = 720/5 = 144
n = 12
5) (i) angle D + 40 + 70 = 180
angle D = 180 - 110
= 70 (BDC)
(ii) Since D = C = 70. So, BCD is isosceles
(iii) A = B = 40 (Corresponding Angles)
6 a) p = 180-(43+108) (Linear Pair)
= 180 - 151
= 29
b) q = 360 - (123+88+107) (Complete Angle)
= 360 - 318
= 42
7) a) 2x + 48 = 180 => x = 132/2 = 66
So, 1st pair = 66, 66, 48
Hg
Name: Class 8 Date:
___________________________________________________________________________________________________________________________________
___________________________________________________________________________________________________________________________________
The Hg Classes (8
th
to 12
th
) By: Er Hershit Goyal (B.Tech. IIT BHU), 134-SF, Woodstock Floors, Nirvana Country, Sector 50, GURUGRAM +91 9599697178.
fb.me/thehgclasses linkedin.com/company/the-hg-classes instagram.com/the_hg_classes g.page/the-hg-classes-gurugram thehgclasses.co.in
Also, 48 + 48 + x = 180 => x = 180-96 = 84
So, 2nd pair = 48, 48, 84
7) b) (n-2)*180 = (5-2)*180 = 540 (Since n = 5 for a Pentagon)
8. y = 54 + 49 = 103
9. (i) 360 / 36 = (10 decagon)
(ii) Int angle = 180 - 36 = 144
(iii) (n-2) *180 = 180*8 = 1440
10. x + 120 = 180 (Linear Pair)
x = 60 ANS
y + x + 80 = 180
So, y = 100 - x = 100-60 = 40
11. Ext. angle = 360/5 = 72;
Int. angle = 180-72 = 108
d = Int angle / 2 = 54 Ans
12. a) 7x + 5x + 6x = 180
18x = 180 ==> x = 10 (Decagon)
b) Largest angle = 7x = 7*10 = 70 degrees
13. c + c + 36 = 180 (Since isosceles, ASP)
2c = 144
c = 72
d = 180 - 72 = 108 (Linear Pair)
e = c = 72 (Alternate Int angles)
14. 29x + x = 180
30x = 180
x = 180/30 = 6
No. of sides = 360/6 = 60 sided polygon
15. A + 108 + 136 = 360 [Complete angle = 360]
A = 360 - (108+136)
= 360 - 244
= 116 (BAC)
116 + 2x = 180 (Angle Sum Property)
2x = 180 – 116 = 64
x = 32 (ABC)