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If an angle is $28^o$ less than its complement, find its measure.
Given:
An angle is $28^o$ less than its complement.
To do:
We have to find the measure of the angle.
Solution:
An angle is said to be the complement of another angle if the sum of both the angles is $90^o$.
If $x$ is an angle, then its complement is $90^o - x$.
Let the required angle be $x$.
This implies,
Complement of angle $x=90^o-x$
According to the question,
$x=(90^o-x)-28^o$
$x=90^o-x-28^o$
$x+x=62^o$
$x=\frac{62^o}{2}$
$x=31^o$
Hence, the required angle is $31^o$.
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