Question

Find the measure of each angle in Triangle ABC. m∠a=(48−x)°m∠b=(9x−38)°m∠c=90°

Answer 1

Angle A = 38 degrees

Angle B = 52 degrees

Angle C = 90 degrees

Explanation:

a triangle's angles has to add up to 180 degrees

so, we can set the equation to 180

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

10 + 8x = 180 - 90

10 + 8x = 90

8x = 80

x = 10

Angle A = (48 - 10)

m<A = 38 degrees

Angle B = (9(10) - 38)

90 - 38 = 52

m<B = 52 degrees

Angle C = 90 degrees

38 + 52 + 90 = 180