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W L is tangent to circle O at point W. If mW H A = 260 degrees , find m< AWL

W L is tangent to circle O at point W. If mW H A = 260 degrees , find m< AWL-example-1

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Answer:


m\angle AWL\text{ = 130}\degree

Step-by-step explanation:

Here, we want to get the measure of the angle marked AWL

The measure of this angle is simply half the measure of the big arc WHA

Mathematically, we have the measure of the angle as:


\begin{gathered} m\angle AWL\text{ = }(1)/(2)\text{ }*\text{ mWHA} \\ \\ =\text{ }(1)/(2)*\text{ 260 = 130}\degree \end{gathered}

User Andrew Theken
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