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The side BC of a triangle ABC is extended to the point D. If ∠ACD = 132° and ∠B = $$\frac{4}{7}$$∠A, then the measure of ∠A is equal to:
Answer & Solution
Correct Answer:
Option
D
$$\eqalign{ & \angle {\text{B}} = \frac{4}{7}\angle {\text{A}} \cr & \frac{{\angle {\text{B}}}}{{\angle {\text{A}}}} = \frac{4}{7} \cr} $$
By exterior angle theorem
7x + 4x = 132°
11x = 132°
x = 12°
∠A = 7 × 12° = 84°
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