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 & explanation
Correct answer: option 4
The angle made by straight line = 180°
So, BCD forms a straight line
∠BCA = 180° – 132° = 48°
Now, Sum of all angles of a triangle = 180°
∠B + ∠C + ∠A = 180°
(4/7) × ∠A + ∠A = 180° – 48°
(11/7) × ∠A = 132°
∠A = 84°