from the adjacent figure if angle CQP=80° then angle APQ=
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APQ=100°
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The measure of angle APQ is 100°.
Given:
Angle CQP=80°
AB || CD
To find:
Angle APQ
Solution:
Since the given two lines AB and CD are parallel to each other, the sum of the angles APQ and CQP is 180° as they are supplementary.
The angles APQ and CQP are formed by the transversal cutting of AB and CD.
So, angle CQP+angle APQ=180°
Using the values,
80°+angle APQ=180°
Angle APQ=180°-80°
Angle APQ=100°
Therefore, the measure of angle APQ is 100°.
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