In the given figure, AP is perpendicular to BC, and AQ is the bisector of angle A. What will be the measure of angle PQA?
Show answer & explanation
Correct answer: C
Explanation
The correct answer is Option 3 i.e 75o.
| Understanding/Application |
|
In triangle ABC - ∠A + ∠B + ∠C = 1800 ∠A = 1800 - 600 - 300 ∠A = 900 AQ is the bisector of ∠A. |
|
∠BAQ = 900/2 ∠BAQ = 450 In triangle ABQ - ∠BAQ + ∠ABQ + ∠BQA = 1800 ∠BQA = 180 - 45 - 60 ∠BQA = 750 ∠PQA = ∠BQA = 750 |