Question

Find the value of x. the diagram is not to scale

Answer 1

Hii

here is ur solution

given that in triangle SRT angle SRT = angle STR.
So trianlge SRT is a isosceles triangle.

Angle R = Angle T

And RT exceeds to point U.

Let angle R = 60 degree so Anlge T also = 60 degree.


To find angle S....


We know that sum of all the angles of a triangle is equal to the 180 degree.


so,

angle R + angle T + angle S = 180 degree


60 + 60 + S = 180

120 + S = 180

S = 180 - 120


S = 60 degree



to find angle STU..


Angle STR + angle STU = 180 degree.


60 + STU = 180

STU = 180 - 60

STU = 120



hope it helps you