Geometry math question

Question

Find the measure of each angle in triangle abc. a=48-x  b=9x-38 c=90

A)a=58  b=128  c=90

B) a=128 b=58  c=90

C) a=38  b=52  c=90

D) a=52  b=38  c=90

Answer 1

m∠A + m∠B + m∠C = 180

48 - x + 9x - 38 + 90 = 180

8x + 100 = 180

8x = 80

x = 10

 

m∠A = 48 - 10 = 38º

m∠B = 9(10) - 38 = 52º

m∠C = 90º