Question

Two adjacent angles are in ratio $5:3$ and they together form an angle of ${128}^0$, find these angles.

Answer 1

Sum of two adjacent angles = ${128}^0$

and ratio between them = $5:3$

Let first and = $5x$

Then second angle = $3x$

$5x+3x={128}^0$

$\Rightarrow 8x={128}^0$

$\Rightarrow x={16}^0$

First angle = $5x=5\ast {16}^0={80}^0$

and second angle = $3x=3\ast {16}^0={48}^0$.