Question

Measures of some angle is given below. Find the measures of its complementary angle:

If the angle is $\frac{2}{3}$rd of a right angle.

Answer 1

We know, two angles are complementary when they add up to ${90}^o.$

Given, measure of one complementary angle is $=\frac{2}{3}\times {90}^o={60}^o.$

$\Rightarrow$ Measure of other complementary angle $={90}^o-{60}^o.$ $={30}^o.$

$\therefore$ Measure of a complementary angle of $\frac{2}{3}\times {90}^o={30}^o.$.