Question

In the given figure angle x is
A) 120
B)110
C)80
D)100
​

Answer 1

Answer:

D) 100

Explanation:

let the point where 50° shown in the figure be D

<ACD=20°+30°=50°(Exterior angle property)

x= <ACD+<ADC(Exterior angle property)

x =50°+50°

x= 100°

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Answer 2

Given :  A figure

To Find : Value of x

Solution:

Let say point  is Y  where BC is extended at angle formed 50°.

and point Z where angle x is formed

Exterior angle of triangle = Sum of opposite interior angle

=> ∠YCA  = ∠CBA  + ∠BAC

=>  ∠YCA  =  30°  + 20°

=> ∠YCA  =  50°

=>  ∠YCZ = 50°

in ΔCYZ

x = ∠YCZ  + ∠CZY

x  = 50° + 50°

=> x = 100°

Hence value of x is 100°

Correct option is D) 100°

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