Question
If an angle is $28^\circ $ less than its complement, find its measure.
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Answer
Let the measure of the angle be $x^\circ $.
$\therefore$ Its complement will be $(90 - x)^\circ $ It is given that Angle = complement $- 28^\circ .$
$\therefore x^\circ = (90 - x)^\circ - 28^\circ $
$ 2x^\circ = 62^\circ $
$ x = 31^\circ $
$\therefore$ Angle measure dis $31^\circ .$
$\therefore$ Its complement will be $(90 - x)^\circ $ It is given that Angle = complement $- 28^\circ .$
$\therefore x^\circ = (90 - x)^\circ - 28^\circ $
$ 2x^\circ = 62^\circ $
$ x = 31^\circ $
$\therefore$ Angle measure dis $31^\circ .$
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