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Lime · Answer 1 · 2023-06-27T16:22:43+0000

Given:

Line NO is tangent to the circle at P.

To determine the mWe also note the rule that when the vertex of the angle is on a circle, the measure of angle is half the measure of its intercepted arc. So,

$m\angle NPQ=(93)/(2)=46.5\degree$

Since NO is a straight line, the angle is 180°. Hence, we can get the m
$\begin{gathered} m\angle NPQ+m\angle OPQ=180 \\ 46.5+m\angle OPQ=180 \\ Simplify\text{ and rearrange} \\ m\angle OPQ=180-46.5 \\ m\angle OPQ=133.5\degree \end{gathered}$ Therefore, the answer is:

$m\operatorname{\angle}OPQ=133.5\operatorname{\degree}$

Find the measure, I've been struggling with this one on my homework.-example-1

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