Angle A and angle B are supplementary.The measure of angle B is 15∘ less than the measure of angle A.What is the measure of angl e B, in degrees?
1 answer:
Answer:
The answer to your question is B = 82.5°
Step-by-step explanation:
Data
A and B are supplementary angles
A = x
B = x - 15°
Process
1.- Write and equation to solve this problem. As these angles are supplementary the sum equals 180°.
A + B = 180°
2.- Substitution
x + x - 15 = 180
3.- Solve for x
2x = 180 + 15
2x = 195
x = 195 / 2
x = 97.5
4.- Find the measure of angle B
B = x - 15
B = 97.5 - 15
B = 82.5°
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