Question

A.Find the measures of the remaining angles of parallelogram KLMN. Justify each of the measures with a theorem.

b.Find the measures of the remaining side lengths of parallelogram KLMN. Justify each of the measures with a theorem.

Answer 1

a.

<K = <M = 50 ...Opposite angels are congruent

<K + <L = 180...Consecutive angles are supplementary

50 + <L = 180 so <L = 180 - 50 = 130

<L = <N = 130...Opposite angels are congruent

50 + <N = 180 so <N = 180 - 50 = 130

b.

MN = LK = 7...Opposite sides are congruent

KN = LM = 10...Opposite sides are congruent