Question

PACE is a parallelogram and m PAC=112 find m EPA

Answer 1

m∠EPA = 68°

Explanation:

Angle EPA is adjacent to angle PAC in parallelogram PACE.

As adjacent angles in a parallelogram sum to 180°:

⇒ m∠PAC + m∠EPA = 180°

⇒ 112° + m∠EPA = 180°

⇒ 112° + m∠EPA - 112° = 180° - 112°

⇒ m∠EPA = 68°

Therefore, the measure of angle EPA is 68°.