Question

In Fig. 8.125, the value of x is
A. 12
B. 15
C. 20
D. 30

Answer 1

Let, the ray AB, CD and EF intersect at O.

∠COB = ∠AOD = 3x + 10

[Vertically opposite angle]

∠AOE = ∠BOF = 90°  

[Vertically opposite angle]

∠DOF = ∠EOC = x

[Vertically opposite angle]

∠AOE + ∠AOD + ∠DOF = 180°

[Linear pair]

90°  + (3x + 10°)  + x = 180°

100° + 4x = 180°

4x = 180° - 100°

4x = 80°

x = 80°/4

x = 20°

Hence the value of x is 20°.

Option (D) 20° is correct.

HOPE THIS ANSWER WILL HELP YOU…..

 

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Answer 2

Answer:

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