SOLUTION: if measure of angle A equals 3x+42, measure of angle B=6x+18, angle A and angle C are supplementary, and angle B and angle C are supplementary find x
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Question 355156: if measure of angle A equals 3x+42, measure of angle B=6x+18, angle A and angle C are supplementary, and angle B and angle C are supplementary find x
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.
Given:
angle A and angle C are supplementary,
and angle B and angle C are supplementary
.
Definition of supplements
A + C = 180
B + C = 180
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Transitive Property of Equality
A + C = B + C
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Subtraction Property of Equality
A + C - C = B + C - C
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Remaining from Above
Conclusion:
A = B
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A= 3x+42 and B=6x+18
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3x + 42 = 6x + 18
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simpliy and solve
24 = 3x
8 = x
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x = 8 degrees
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check your answer
24 + 42 = 48 + 18 = 66
