Question

In the given figure $AQandAR$ are the tangents drawn from $A$ to the circle with centre $O$. If the measure of $\angle QOR$ is ${120}^{\circ }$, then $\angle QAR$ is equal to

• A. ${45}^{\circ }$
• B. ${50}^{\circ }$
• C. ${65}^{\circ }$
• D. ${60}^{\circ }$

Answer 1

The correct option is D ${60}^{\circ }$

$\angle QOR+\angle QAR=180$

$=>\angle QAR=180-\angle QOR$

$=>\angle QAR=180-120$

$=>\angle QAR=60$