A transversal cuts two parallel lines. The bisectors of one pair of co-interior angles (interior angles on the same side of the transversal) meet at a point P. What is the measure of the angle between these two bisectors at P?

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Accepted Answer

90°. Co-interior angles are supplementary, so they sum to 180°. Their halves sum to 90°. Those two halves are the base angles of the triangle formed by the bisectors and the transversal, so the remaining angle at P = 180° − 90° = 90°.

A transversal cuts two parallel lines. The bisectors of one pair of co-interior angles (interior angles on the same side of the transversal) meet at a point P. What is the measure of the angle between these two bisectors at P?

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