In a triangle ABC, angle A is larger than angle C and smaller than angle B by the same amount. If angle B is 70°, what is the value of angle A?

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In a triangle ABC, angle A is larger than angle C and smaller than angle B by the same amount. If angle B is 70°. what is the value of angle A:

A60°

B53°

C58°

D70°

Answer:

B>A>C B = 70° A+ C = 180 -70 = 110° C = 110 - A B- A = A- C 2A = B + C 2A = 70 + 110 - A 3A = 180 A = 60°

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