Question

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

Answer 1

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

$KL=7\ units$

$LM=10\ units$

Answer 2

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