Can someone help me pls?
2 answers:
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° =
∴ Hence ,
- ∠MKQ = 30°
- ∠JKL = 2∠MKQ = 2×30 = 60°
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ANSWER
and
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EXPLANATION
Let us make y the subject and call it equation (2)
We put equation (2) in to equation (1)
Simplify to get,
Divide both sides by 31,
We put this value in to equation (2) to get,
We collect LCM to obtain,