Answer:
x = 30
Step-by-step 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° = [tex]\frac{90}{3} = 30[/tex]
∴ Hence ,
- ∠MKQ = 30°
- ∠JKL = 2∠MKQ = 2×30 = 60°
