Question

The measures of the angeles of Δ RST are given by the expressions in the table
Angles: Measure:
R 31°
S (x = 4)°
T (3x + 9)°

Find the value of x. then find the measures of angles S and T.

x =
m∠s =
m∠T =


This is worth 15 points

Answer 1

for the second angle, I'll take it as x + 4, I think you had a typo
the angle sum of triangle is 180, so just add all of them.
180 = 31 + x + 4 + 3x +9
180 = 4x + 44
4x = 136
x = 34
as x = 34,
s = 34 + 4
= 38
T = 3 x 34 + 9
= 102 + 9
= 111