The sum of the measures of two supplementary angles exceeds the difference of their measures by 116 degrees. Find the measure of each angle

Question

kamille · Answer

do you know what is the sum of two supplementary angles?

anonymous · Answer

supplementary angles add up to 180 degrees

danjs · Answer

Call the angles A and B, 

A + B = A - B + 116

The sum of the two angles is 116 greater than the difference of the two angles

danjs · Answer

They are supplementary angles, A + B = 180

danjs · Answer

You get

A + B = 180
180 = A - B + 116
-------------------

A + B = 180
A  - B = 64           add the two equations to solve
----------
2A = 244  --->  A = 122

danjs · Answer

A = 122  ;   B = 64

They are supplementary, and the sum A + B  exceeds A - B by 116