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
[tex]90^\circ+3x^\circ+7x^\circ=180^\circ[/tex]
[tex]10x^\circ=180^\circ-90^\circ[/tex]
[tex]10x^\circ=90^\circ[/tex]
Divide both sides by 10.
[tex]x^\circ=\dfrac{90^\circ}{9}[/tex]
[tex]x^\circ=10^\circ[/tex]
Therefore, the value of x° is equal to 10°.
