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10. Two angles are supplementary. The smaller angle is 201° less than twice the larger angle. What is the measure of the

larger angle?

User Filhit
by
8.8k points

1 Answer

5 votes

Answer:

The larger angle is 127 degrees

Explanation:

Given

Represent the two angles with a and b


a = 2b - 201

Required

Determine a and b

Since a and b are supplementary, then:


a + b = 180

Substitute 2b - 201 for a


2b - 201 + b = 180

Collect Like Terms


2b + b = 180 + 201


3b = 381


b = 381/3


b = 127

Recall that


a = 2b - 201


a = 2 * 127 - 201


a = 254- 201


a = 53

Hence:

The angles are 53 and 127 degrees, respectively

User Matt Sephton
by
6.9k points

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