Question

What is the measure of ∠RST?

Answer 1

the measure of angle rst is 49 degree.

Answer 2

<RST = 49°

Explanation:

From the figure we can see that, a triangle RST.

<R = 79° and also given an exterior angle at T,exterior angle of T = 128°

To find <RTS

<RTS and exterior angle at T are linear pair.

Sum of linear pair angles is 180°

Therefore, <RTS + 128° = 180°

<RTS = 180 -128 = 52°

To find <RST

In triangle RST, <R + <S + <T = 180

(Angle sum property of a triangle)

<R = 79°, <T = 52° <S =<RST = ?

<RST = 180 - (<R + <T) = 180 - (79 + 52 ) = 180 - 131 = 49°

Therefore <RST = 49°