Question

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

Answer 1

Given:
∠SRT ≅ ∠STR, 
m∠SRT = 20, 
m∠STU = 4x

Since ∠SRT ≅ ∠STR,  then m∠STR = 20.

m∠STR + m∠STU = 180°
20 + 4x = 180
4x = 180 - 20
4x = 160
4x/4 = 160/4
x = 40

The value of x is 40.



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