Answer:
see explanation
Explanation:
∠ R = 2x + 5 , ∠ S = x + 1 , ∠ T = 7x - 16
the sum of the 3 angles in a triangle = 180°
sum the 3 angles and equate to 180
2x + 5 + x + 1 + 7x - 16 = 180
10x - 10 = 180 ( add 10 to both sides )
10x = 190 ( divide both sides by 10 )
x = 19
Then
∠ R = 2x + 5 = 2(19) + 5 = 38 + 5 = 43°
∠ S = x + 1 = 19 + 1 = 20°
∠ T = 7x - 16 = 7(19) - 16 = 133 - 16 = 117°