Question
In triangle ABC, the difference between angle A and
angle B is 16°, and the difference between angle A and angle C is 8°. Determine the measure of angle B.Solution
Since, ABC is a triangle, So, ∠A + ∠B + ∠C = 180o .......... (I) Also, ∠A - ∠C = 8o .......... (II) On subtracting equation (II) from equation (I), we have; 2 ∠A + ∠B = 188o .......... (III) Also, ∠A - ∠B = 16o ........ (IV) On adding equation (III) and (IV), we have; 3 ∠A = 204o Or, ∠A = 68o So, ∠B = 68o - 16o = 52o
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