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Converse of Co-interior Angles Theorem

AB is a strai...

Question

AB is a straight line and P is a point on it. If a line PQ is drawn not coinciding with PA and PB, then ∠APQ and ∠BPQ are ___________.

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Solution

Here, ∠APQ and ∠BPQ are adjacent angles. Also, AP and BP are two opposite rays.

We know that two adjacent angles are said to form a linear pair, if their non-common arms are two opposite rays.

∴ ∠APQ + ∠BPQ = 180º (Linear pair of angles)

AB is a straight line and P is a point on it. If a line PQ is drawn not coinciding with PA and PB, then ∠APQ and ∠BPQ are supplementary.

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