Question

Angle PRS is 98 degree. It is made of two smaller angles. One smaller angle is 3x-8 and the other one is 2x+6. What is the measure of the smaller angle?

Answer 1

46

Explanation:

The sum of the two smaller angle measures is 98.

(2x + 6) + (3x - 8) = 98

Combine like terms.

5x - 2 = 98

5x = 100

x = 20

Plug this into the expressions for the two smaller angle measures.

2x + 6 = 2(20) + 6 = 46

3x - 8 = 3(20) - 8 = 52

The smaller of the two angles measures 46.