High School

In the adjacent figure, lines AC and BD intersect at point P. If ∠APB = 34°, find the measures of ∠APD and ∠BPC.

Answer :

Final answer:

Angle APD and angle BPC are each 34°.

Explanation:

To find the measure of angle APD and angle BPC, we can use the fact that opposite angles formed by intersecting lines are equal. Since angle APB is 34°, we know that angle APD and angle BPC are also 34° each.

This is because angle APB and angle APD are opposite angles formed by the intersecting lines AC and BD, and angle APB and angle BPC are opposite angles formed by the intersecting lines AC and BD.

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