Question

JKLM is a triangle. Find the measure of angle KL and JM

Answer 1

Opposite sides of rectangle are equal

`\\ \rm\Rrightarrow x+31=5x-9`

`\\ \rm\Rrightarrow 4x=40`

`\\ \rm\Rrightarrow x=10`

• m<K=90°

`\\ \rm\Rrightarrow 4y+5=2y+35`

`\\ \rm\Rrightarrow 2y=30`

`\\ \rm\Rrightarrow y=15`

• KL=JM=2(15)+35=30+35=65

Answer 2

x = 10

m∠K = 90°

y = 15

JM = 65

Explanation:

KJ = LM

⇒ x + 31 = 5x - 9

⇒ 40 = 4x

⇒ x = 10

From inspection of the diagram, m∠K = 90° (right angle)

KL = JM

⇒ 4y + 5 = 2y + 35

⇒ 2y = 30

⇒ y = 15

JM = 2y + 35

⇒ JM = 2(15) + 35

⇒ JM = 30 + 35

⇒ JM = 65