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If an angle is 3 times its complement, what is the angle?

If an angle is 3 times its complement, what is the angle?
यदि कोई कोण अपने पूरक कोण का 3 गुना है, तो उस कोण का मान क्या होगा?

$67.5^\circ$ $65^\circ$ $68.5^\circ$ $66^\circ$

Detailed Solution & Logic

Correct Answer:

$67.5^\circ$

Let the angle be $x^\circ$.
Its complement is $(90 - x)^\circ$.

According to the question, the angle is 3 times its complement.

So,
$x = 3(90 - x)$

$x = 270 - 3x$

$4x = 270$

$x = 67.5^\circ$

Answer: The angle is $67.5^\circ$.

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