Question

In Fig. 9.52, the value of x is
A. 65°
B. 80°
C. 95°
D. 120°

Answer 1

Given : From figure we have , ∠ADB = 25°,  ∠BAD = 55°, ∠ECB = 40°, ∠CED = x

In ∆ABD,  

By angle sum property,

∠BAD + ∠ABD + ∠ADB = 180°

55° + ∠ABD + 25° = 180°

80° + ∠ABD = 180°

∠ABD = 180° - 80°

∠ABD = 100°

 

In ∆EBC,  

∠EBC + ∠ABD = 180° [Linear pair]

∠EBC + 100° = 180°

∠EBC = 180° - 100°  

∠EBC  = 80°  

∠EBC + ∠ECB + ∠CEB = 180°

[By angle sum property]

80° + 40° + ∠CEB = 180°

120° + ∠CEB = 180°

∠CEB = 180° - 120°

∠CEB = 60°

Now,

∠CEB + ∠CED = 180° [Linear pair]

60° + x = 180°

x = 180° - 60°

x = 120°

Hence the value of x is 120°.

Among the given options option (D) 120° is correct.

HOPE THIS ANSWER WILL HELP YOU…

 

Some more questions :  

In Fig. 9.50, what is value of x?

A. 35

B. 45

C. 50

D. 60

https://brainly.in/question/15907293

In Fig. 9.53, if BP||CQ and AC=BC, then the measure of x is

A. 20°

B. 25°

C. 30°

D. 35°

https://brainly.in/question/15907303

Answer 2

Step-by-step explanation:

In Fig. 9.52, the value of x is

A. 65°

B. 80°

C. 95°

D. 120° √√