Question

in parallelogram klmn find the length of KL if mn is equal to 8 cm​

Answer 1

Answer:

Part A)

m < L=130\°m<L=130\°

m < M=50\°m<M=50\°

m < N=130\°m<N=130\°

Part B)

KL=7\ unitsKL=7 units

LM=10\ unitsLM=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 < K=m < Mm<K=m<M ----> by opposite angles

m < L=m < Nm<L=m<N ----> by opposite angles

m < K+m < L=180\°m<K+m<L=180\° -----> by consecutive angles

we have

m < K=50\°m<K=50\°

Find the value of m<L

50\°+m < L=180\°50\°+m<L=180\°

m < L=180\°-50\°=130\°m<L=180\°−50\°=130\°

therefore

m < N=m < L=130\°m<N=m<L=130\°

m < M=m < K=50\°m<M=m<K=50\°

Part B)

we know that

KN=LMKN=LM ----> by opposite sides

KL=NMKL=NM ----> by opposite sides

we have

KN=10\ unitsKN=10 units

NM=7\ unitsNM=7 units

therefore

KL=7\ unitsKL=7 units

LM=10\ unitsLM=10 units

Answer 2

Answer:

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