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?
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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