Question

Two supplementary angles are in the ratio of 7:5. Find them.

Answer 1

Supplementary Angles - If the sum of two angles is $180°$then they are said to be supplementary angles.

Two angles are in the ratio of $7:5$

Let the two supplementary angles be $7x,5x$

Sum of the supplementary angles = $180°$

$$\begin{gathered} 7x+5x=180° \\ 12x=180° \\ x=15° \end{gathered}$$

Hence, One angle be $7x=7\times 15°=105°$

Another angle be $5x$ = $5\times 15°=75°.$