Question

In RST , if RT ST , mR = (9x + 2)°, mS = (13x – 18)°, and mT = (17x + 1)°, find x and the

measure of each angle.

Answer 1

x = 5

<R = 47 degrees

<S = 47 degrees

<T = 86 degrees

Explanation:

The sum of angles in a triangle is 180degrees

Given triangle RST

<R + <S + <T = 180

9x + 2 + 13x - 18 + 17x +1 = 180

39x - 15 = 180

39x = 180 + 15

39x = 195

x = 195/39

x = 5

Get <R

<R = 9x + 2

<R = 9(5) + 2

<R = 47 degrees

Get <S

<S = 13x-18

<S = 13(5) - 18

<S = 65-18

<S = 47 degrees

Get <T

<T = 17x + 1

<T = 17(5)+1

<T = 85+1

<T = 86 degrees