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LN is tangent to circle O at point M and QM is a diameter. Determine the measure of the following angles.

LN is tangent to circle O at point M and QM is a diameter Determine the measure of the following angles class=

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QM is the diameter given.

NL is the tangent given.

The tangent makes 90 degree angle with diameter.

hence the angle QML will be : 90°   ...............   Answer

Similarly, QMN will also be 90°

The angle PMQ is given as 27°

Hence the angle PMN will be = [tex]90-27[/tex]

Hence the angle PMN will be = [tex]63[/tex]°   .....................   Answer

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