Question

The measures of the angles of △RST are given by the expressions in the table.

Angle : R and Measure : 31°

Angle : S and Measure : (x + 4)°

Angle : T and Measure : (3x + 9)°

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

x =

m
m

Answer 1

x=34
angle s=38
angle t= 111

Answer 2

Here, we know sum of all the angles in a triangle is equal to 180
31 + x+4 + 3x+9 = 180
4x + 44 = 180
4x = 180 - 44
x = 136 / 4
x = 34

Angle S = x+4 = 34+4 = 38
Angle T = 3x+9 = 3(34)+9 = 111

Hope this helps!