in a triangle abc angle A-angle B= 15° angle B - agle C=30° find the measure of each angle of the trianGle
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Answer:
80, 65, 35
Step-by-step explanation:
Sum of angles of a triangle = 180
1) A + B + C = 180
2) A - B = 15
3) B - C = 30
3b) C = B - 30
Add LHS and RHS of 2) and 3)
4) A - C = 45
5) A = 45 + C
Substitute 3b) and 5) in 1)
(45 + C) + B + (B - 30) =180
45 + (B - 30) + 2B - 30 = 180
3B - 15 = 180
B - 5 = 60
B = 65 degrees.
A = 80 degrees.
C = 35 degrees.
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Good Luck :)
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