Question

Please solve this for me

Answer 1

Given:

A figure of a right angle triangle.

To find:

The value of x°.

Solution:

The given triangle is a right angle triangle. So, the measure of one angle is 90 degrees.

The measure of other two angles are 3x° and 7x°.

According to the angle sum property of a triangle, the sum of all three interior angles of a triangle is 180 degrees.

Using the angle sum property of the triangle, we get

`90^\circ+3x^\circ+7x^\circ=180^\circ`

`10x^\circ=180^\circ-90^\circ`

`10x^\circ=90^\circ`

Divide both sides by 10.

`x^\circ=(90^\circ)/(9)`

`x^\circ=10^\circ`

Therefore, the value of x° is equal to 10°.