Question
If an angle differs from its complement by $10^\circ $, find the angle.
✓
Answer
Let the measure of the angle be $x^\circ$
. $\therefore$ its complement will be $(90 - x)^\circ $.
It is given that $x^\circ - (90 - x)^\circ = 10^\circ $
$\Rightarrow x - 90 + x = 10 $
$\Rightarrow 2x = 100 $
$\Rightarrow x = 50$
$\therefore$ The measure of the angle will be $50^\circ .$
. $\therefore$ its complement will be $(90 - x)^\circ $.
It is given that $x^\circ - (90 - x)^\circ = 10^\circ $
$\Rightarrow x - 90 + x = 10 $
$\Rightarrow 2x = 100 $
$\Rightarrow x = 50$
$\therefore$ The measure of the angle will be $50^\circ .$
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