The value of x in the triangle is 36°.
Step-by-step explanation:
Step 1:
The sum of all the angles in any triangle is equal to 180°.
We have all three angles in terms of x. The sum of the three angles in terms of x will be 180°.
So the angles of the triangle are 2x°, 2x°, and x°.
Step 2:
Now, we substitute all the angles to a sum of 180° to determine the value of x.
[tex]2x + 2x +x = 180, 5x = 180.[/tex]
[tex]x = \frac{180}{5} = 36.[/tex]
So x = 36°.
The angles of the triangle are 72°, 72°, and 36°.
