Question

In the given figure, CD is the tangent at Q and $\angle RQD=x^{\circ },$ then the measure of $\angle RPQ$ is equal to

• A.
  ${90}^{\circ }$
• B.
  $(180-x{)}^{\circ }$
• C.
  $x^{\circ }$
• D.
  $(180+x{)}^{\circ }$

Answer 1

The correct option is C

$x^{\circ }$
Given: $\angle RQD=x$

Using Alternate Segment Theorem.
$\angle RPQ=\angle RQD=x^{\circ }$
Hence, the correct answer is option c .