SOLUTION: Angle A and angle B are supplementary angles and angle A is 20 degrees less than four times angle B. Find the measure of angle A and Angle B.

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Question 220958: Angle A and angle B are supplementary angles and angle A is 20 degrees less than four times angle B. Find the measure of angle A and Angle B.
Answer by drj(1380) About Me  (Show Source):
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Angle A and angle B are supplementary angles and angle A is 20 degrees less than four times angle B. Find the measure of angle A and Angle B.

Step 1. Supplementary angles means two angles add up to 180 degrees.

Step 2. So, B=180-A since B is supplementary to A

Step 3. Let 4B=4(180-A) is four times the angle B.

Step 4. A=4(180-A)-20 since angle A is less than four times angle B.

Step 5. Solving yields the following steps

A=4%28180-A%29-20

A=720-4A-20

Adding 4A to both sides of the equation

A%2B4A=700-4A%2B4A

5A=700

Step 6. Divide by 5 to both sides of the equation

5A%2F5=700%2F5

A=140 then B=180-40=40 and note 140=4%2A40-20...true statement.

Step 7. The angles are A=140 and B=40

I hope the above steps were helpful.

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Good luck in your studies!

Respectfully,
Dr J