Question

find the measure of an angle which is 36 degrees less than its supplement?

Answer 1

The angle is 72 and its supplement is 108

Answer 2

Answer:

The required angle is $x=$$108^{0}$

Step-by-step explanation:

Concept:

Supplementary Angles: Two angles are referred to as supplementary angles when their sum is 180 degrees. In other terms, two angles are said to be supplementary if they combine to create a straight angle.

Given:

The angle is $36^{0}$

To find:

The objective is to find out the value of the supplementary angle of the given angle.

Solution:

Let $x$ be the one angle.

So, the supplement of $x=180^{0} -x$

Given that an angle is $36^{0}$ less than its supplement.

$x=(180^{0} -x)-36^{0}$

⇒$x+x=180^{0} -36^{0}$

⇒$2x=144^{0}$

⇒$x=\frac{144^{0} }{2}$

⇒$x=72^{0}$

Therefore, the supplementary angle of $x$

$180^{0} -x\\=180^{0} -72^{0} \\=108^{0}$

Therefore, the required angle is $108^{0}$.

#SPJ2