Find the measure of an angle, if six times its complement

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Find the measure of an angle, if six times its complement is 12° less than twice its supplement :

1. 48°
2. 96°
3. 24°
4. 58°
5. None of these

Correct Option: A

Let, the measure of the required angled be A°.
Then, measure of its complement = ( 90 – A )° measure of its supplement = (180 – A)°
According to question,
6(90° – A) = 2(180° – A) –12°
⇒ 540° – 6A = 360° – 2A – 12°
⇒ 4A = 192°
⇒ A = 48°.