Question

In a right angled triangle , one of the acute angles is one fifth the other . Find the measure of the smallest angle.

Answer 1

Here is your answer

Hope it helps :)

Pls mark as brainliest :)

Answer 2

The measure of smallest angle is 22.5°

Step-by-step explanation:

We are given a right angled triangle

So, One of its angle is 90°

Let another angle be x

We are given that  one of the acute angles is one fifth the other

So, Third angle = $\frac{1}{3}x$

Using angle sum property of triangle

$90+x+\frac{1}{3}x=180\\\frac{4x}{3}=90\\x=\frac{90 \times 3}{4}\\x=67.5$

So, Third angle = $\frac{1}{3}(67.5)=22.5^{\circ}$

Hence The measure of smallest angle is 22.5°

#Learn more:

In a right angled triangle if one of the acute angles measures 40°, find the measure of the other acute angles.

https://brainly.in/question/6296029