SOLUTION: The measure of ∠A is 8° more than three times the measure of ∠B. If A and B are supplementary angles, find the measure of ∠A.
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Question 357935: The measure of ∠A is 8° more than three times the measure of ∠B. If A and B are supplementary angles, find the measure of ∠A.
Found 2 solutions by Fombitz, MathTherapy:
Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!
By definition,
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.
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Substitute,
degrees
Then
degrees
Answer by MathTherapy(10556) (Show Source): You can put this solution on YOUR website!
The measure of ∠A is 8° more than three times the measure of ∠B. If A and B are supplementary angles, find the measure of ∠A.
Since angle A is 8° more than three times the measure of angle B, then we can say that: A = 3B + 8, or A - 3B = 8
Since angles A and B are supplementary angles, then we can say that: A + B = 180
We therefore have:
A + B = 180__________eq (i)
A - 3B = 8__________eq (ii)
3A + 3B = 540__________eq (iii) ------ Multiplying eq (i) by 3
4A = 548 ------ Adding eq (ii) & (iii)
Angle A = =
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