Question

In the figure, PQ is a chord of a circle with centre O and PT is the tangent at P such that $\angle QPT={70}^o$. Then the measure of $\angle PRQ$ is equal to :

• A. ${135}^o$
• B. ${150}^o$
• C. ${120}^o$
• D. ${110}^o$

Answer 1

The correct option is D ${110}^o$

$\angle QPT={70}^o=\angle PAQ$
(angles in alternate segments)
$\therefore \angle PRQ={180}^o-\angle PAQ$
$={180}^o-{70}^o$
$={110}^o$