Question

Find the measure of an angle, which is:
${36}^{\circ }$more 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:
$x=(180-x)+36$
$2x=216$
$x=108$
The supplement will be ${180}^{\circ }-{108}^{\circ }={72}^{\circ }$.
Hence, the measure of the required angle is ${108}^{\circ }$.