In triangle ABC, the measure of angle B is 34° more than three times the measure of angle A. The measure of angle C is 56° more
than the measure of angle A. Find the measure of each angle.
1 answer:
Answer:
A = 18
B = 88
C = 74
Step-by-step explanation:
Givens
B = 3*A + 34
C = A + 56
Equation
A + B + C = 180
Solution
A + 3A + 34 + A +56 = 180 Collect like terms
5A + 90 = 180 Subtract 90 from both sides
5A = 180 - 90
5A = 90 Divide by 4
A = 90 / 5
A = 18
Answer
B = 18*3 + 34 = 54 + 34 = 88
C = 74
Check
A + B + C = 18 + 88 + 74
A + B + C = 180 as it should.
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