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In parallelogram KLMN, KN = 10, MN = 7 and mK = 50°



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.

In parallelogram KLMN, KN = 10, MN = 7 and mK = 50 a.Find the measures of the remaining angles of parallelogram KLMN. Justify each of the measures with a theore class=

Verified Answer :

Procrastinator467

a- 130, 130, and 50
b- 7 and 10

calculista

Answer:

Part A)

\(m

\(m

\(m

Part B)

\(KL=7\ units\)

\(LM=10\ units\)

Step-by-step explanation:

we know that

In a parallelogram, the opposite angles and opposite sides are congruent, and consecutive angles are supplementary

Part A)

we know that

\(m ----> by opposite angles

\(m ----> by opposite angles

\(m -----> by consecutive angles

we have

\(m

Find the value of m<L

\(50\°+m

\(m

therefore

\(m

\(m

Part B)

we know that

\(KN=LM\) ----> by opposite sides

\(KL=NM\) ----> by opposite sides

we have

\(KN=10\ units\)

\(NM=7\ units\)

therefore

\(KL=7\ units\)

\(LM=10\ units\)

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