use an algebraic equation to find the measures of the two angles described below. Begin by letting x represent the degree measure of the angle's supplement.
The measure of the angle is 8 degrees greater than its complement

What is the measure of the complement?

What is the measure of the other angle?

@wolfe8

Question

use an algebraic equation to find the measures of the two angles described below. Begin by letting x represent the degree measure of the angle's supplement.
The measure of the angle is 8 degrees greater than its complement

What is the measure of the complement?

What is the measure of the other angle? 

@wolfe8

ranga · Answer

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anonymous · Answer

i'm so confused here..

anonymous · Answer

Lol..I thought ranga was gonna answer your question

ranga · Answer

AOB is the angle in question.  
The problem says assume x to be the supplement of the angle in question which is DOB.
AOB = 180 - x

COB is the complement of the angle in question = DOB - DOC = x - 90

The problem says AOB is 8 degrees greater than its complement.
AOB = COB + 8
180 - x = x - 90 + 8

Solve for x

ranga · Answer

Sorry, I had to leave in the middle for a phone call.

ranga · Answer

180 - x = x - 90 + 8
180 - x = x - 82
180 + 82 = 2x
2x = 262
x = 131
AOB = 180 - 131 = 49
COB = AOB - 8 = 41

anonymous · Answer

Sorry i was working out the problem

anonymous · Answer

Thank you for your help. I was stuck on this for a long time

ranga · Answer

You are welcome.

ranga · Answer

What is the measure of the complement? 41 degrees

What is the measure of the other angle? I am assuming they mean x is the other angle and so it is 131. But you decide what they mean by the other angle. 

The angle in question is AOB = 49 but they don't ask for it.