SOLUTION: I cannot find a place that explains how to do this problem,any help would be appreciated. Angles A and B are supplementary angles because their sum is 180 degrees. The measure o

Question 22620: I cannot find a place that explains how to do this problem,any help would be appreciated.
Angles A and B are supplementary angles because their sum is 180 degrees. The measure of angle A is ten less than 4 times the measure of angle B. Find the measure of angle B?
1. 45 degrees
2. 38 degrees
3. 142 degrees
4. 36 degrees

Answer by Earlsdon(6294) (Show Source): You can put this solution on YOUR website!
Start with A + B = 180 degrees (A means...the measure of angle A)
A = 4B-10 "The measure of angle A is (=) 4 times the measure of angle B (4B) less 10 degrees (-10)". Substitute this equation for A into the above equation for A + B = 180.
(4B-10) + B = 180 Simplify and solve for B
5B - 10 = 180 Add 10 to both sides.
5B = 190 Divide both sides by 5.
B = 38 degrees.
Check:
A = 4(38)-10 = 152 - 10 = 142 degrees.
A + B = 142 + 38 = 180 degrees.

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