Question

Find the value of x

Answer 1

Determining value of Interior Opposite Angle

Answer: In given figure value of x is 65°.

Explanation:

from figure we can say that

Exterior angle = 115°

And two interior opposite angle to exterior angle of 115° are 50° and x°.

Need to find the value of x.

Here we will be using following therome which says that "Sum of  two interior opposite angles is equal to corresponding exterior angle"

using above theorem , expression which we get is as follows

50° + x = 115°

On Solving above expression for x , we get

x = 115 - 50 = 65°

Hence in given figure value of x is 65°.

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