Answered

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

Verified Answer :

Breezy101

x=34
angle s=38
angle t= 111

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!

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