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angle A and angle B are supplementary if the sum of the angles is equal to 180.
Given:
measure of angle A = 3x + 8
measure of angle B = 2x - 18
Solve:
measure of angle A + measure of angle B = 180
3x + 8 + 2x - 18 = 180
5x - 10 = 180
5x = 180 + 10
5x = 190
x = 38
measure of angle A = 3x + 8
= 3(38) + 8
= 114 + 8
= 122
measure of angle B = 2x - 18
= 2(38) - 18
= 76 - 18
= 58
Answer:
Measure of angle A is 122
Measure of angle B is 58
Check:
122 + 58 = 180
180 = 180 (Correct)