Question

In parallelogram IJKL, what is the measure of angle K?​

Answer 1

<K = 67degrees

Explanation:

From the parallelogram given, the opposite angles are equal i.e <L = <J

Given

<L = 5x + 18

<J = 7x - 20

Equating both sides

5x + 18 = 7x - 20

Collect the like terms

5x - 7x = -20 -18

-2x = -38

x = 38/2

x = 19

Also <J + <K = 180

7x - 20 + <K = 180

7(19) - 20 + <K = 180

133 - 20 + <K = 180

113 + <K = 180

<K = 180 - 113

<K = 67degrees