Consider parallelogram JKLM below. Use the information given in the figure to find x, m
ZL, and m ZLMK.

x = 5

∠L = 114°

∠ LMK  = 31°

Step-by-step explanation:

In parallelogram, opposite sides are parallel and equal.

3x = 15

Divide both sides by 3

3x/3 = 15/3

x = 5

In parallelogram, opposite angles are equal

∠L = ∠J

∠L = 114°

In ΔJKM,

∠J + ∠JKM +  ∠JMK = 180 {Angle sum property of triangle}

114 + ∠JKM  + 35 = 180

149 + ∠JKM  =180

∠JKM  = 180 - 149

∠JKM  = 31°

JK & ML are parallel and  KM is transversal

Therefore, ∠ LMK  = ∠JKM    { oppoiste interior angles are congruent}

                  ∠ LMK  = 31°

correct answer:

a + bi

4

step-by-step explanation: