Question

Can someone help me pls?

Answer 1

x = 30

Explanation:

Let the measure of ∠MKQ be x°.

It's given that:-

• Measure of ∠JKL is twice the measure of ∠MKQ.

⇒ ∠JKL = 2∠MKQ

⇒ ∠JKL = 2x° _____ (eqn.1)

• ∠JKL & ∠MKQ are complementary angles.

⇒ ∠JKL + ∠MKQ = 90°

⇒ 2x° + x° = 90°

⇒ 3x° = 90°

⇒ x° =
`(90)/(3) = 30`

∴ Hence ,

• ∠MKQ = 30°
• ∠JKL = 2∠MKQ = 2×30 = 60°