Question

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

larger angle?

Answer 1

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