Question

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

Answer 1

see explanation

Explanation:

the sum of the 3 angles in a triangle = 180°

sum the 3 angles and equate to 180

31 + x + 4 + 3x + 9 = 180

4x + 44 = 180 ( subtract 44 from both sides )

4x = 136 ( divide both sides by 4 )

x = 34

Then

∠ S = x + 4 = 34 + 4 = 38°

∠ T = 3x + 9 = 3(34) + 9 = 102 + 9 = 111°