2. In a A ABC, if angle A-B = 40° and angle B-C = 10°, find the measure of angle A,B,C
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Answer:
A=90°
B=50°
C=40°
Step-by-step explanation:
A - B = 40°
A = 40° + B
B - C = 10°
B - 10° = C
A + B + C = 180°
40° + B + B + B - 10° = 180°
3B + 30° = 180°
3B = 180° - 30°
B = 150°/3 = 50°
A = 40° + B = 40° + 50° = 90°
B = 50°
C = B - 10° = 50° - 10° = 40°
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