Question

The measures of two complementary angles are $x$ and $4x$. Find the measure of each of these angles.

Answer 1

We know, the sum of two complementary angles is ${90}^o$.

Given, the complementary angles are $x$ and $4x$.

Then, $x+4x={90}^o$

$⟹$ $5x={90}^o$

$⟹$ $x={18}^o$.

Therefore, the angles are $x={18}^o$ and $4x=4\times {18}^o={72}^o$.