Question

The measure of two supplementary angles,

Answer 1

Two angles are labelled as supplementary angles when they both add up to 180 degrees.

The two angles given are S and T, and they are in the ratio 7 : 3.

This can be expresed as follows;

$\begin{gathered} \angle S\colon\angle T=7\colon3 \\ \angle S=\frac{7}{10} \\ \angle T=\frac{3}{10} \end{gathered}$

Having been told that they both add up to 180 degrees, we now have the following;

$\begin{gathered} \angle S=\frac{7}{10}\times180 \\ \angle S=126 \end{gathered}$

Similarly;

$\begin{gathered} \angle T=\frac{3}{10}\times180 \\ \angle T=54 \end{gathered}$

ANSWER:

The angle measure of S is;

$\angle S=126$