Question

A and B are supplementary angles. If A = 7x - 18 and B = 8x + 3, find x.

Answer 1

x=13

Explanation:

Angle A and angle B are supplementary

Supplementary angles add to 180 degrees

<A + <B = 180

7x-18 + 8x+3 = 180

Combine like terms

15x -15 = 180

Add 15 to each side

15x-15 +15 = 180+15

15x = 195

Divide by 15

15x/15 =195/15

x =13