SOLUTION: In ΔQRS, if QR ≅ RS, m∠Q = 8x – 17, m∠R = 19x + 4, and m∠S = 5x + 1, find x and the measure of each angle.

Algebra ->  Triangles -> SOLUTION: In ΔQRS, if QR ≅ RS, m∠Q = 8x – 17, m∠R = 19x + 4, and m∠S = 5x + 1, find x and the measure of each angle.      Log On


   

Question 1109027: In ΔQRS, if QR ≅ RS, m∠Q = 8x – 17, m∠R = 19x + 4, and m∠S = 5x + 1, find x and the measure of each angle.
Answer by math_helper(2461) About Me  (Show Source):
You can put this solution on YOUR website!

The 3 angles of a triangle sum to 180 degrees:
(8x-17)+(19x+4)+(5x+1) = 180
32x - 12 = 180
32x = 192
————————
x = 6
angle Q = 48-17 = 31 degrees
angle R = 19(6)+4 = 118 degrees
angle S = 30+1 = 31 degrees