Question

In the triangle PQR, measure of ∠PRQ is .

• A. 45°
• B. 33°
• C. 43°
• D. 38°

Answer 1

The correct option is C 43°

According to the angle sum property of triangles, the sum of the measure of internal angles of a triangle is 180°.
$i.e,\angle PRQ+\angle RQP+\angle QPR=180°$


Here, ∠RQP = 55°
and ∠QPR = 82°

On substituting, we get:
$\angle PRQ+55°+82°=180°$

$\Rightarrow \angle PRQ=180°-(55°+82°)$

$\Rightarrow \angle PRQ=180°-137°$

$\Rightarrow \angle PRQ=43°$

So, the measure of ∠PRQ is 43°.