Question

Find the measure of an angle, which is:

${36}^{\circ }$less than its supplement.

Answer 1

Finding the value of x:

We know that two angles are called supplementary if the sum of their measures is ${180}^o$.

Let the angle be $x^o$.
So, the supplement will be ${\left(180-x\right)}^o$.

As per the question:
$x=(180-x)-36$
$2x=144$
$x=72$
The supplementary angle will be ${180}^{\circ }-{72}^{\circ }={108}^{\circ }$.
Hence, the measure of the required angle is ${72}^{\circ }$.