The value of x in the triangle is 36°.
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.
![2x + 2x +x = 180, 5x = 180.](https://img.qammunity.org/2021/formulas/mathematics/middle-school/zjifwa7n3e5edg3hja4mq2kx63qwbsj1dq.png)
![x = (180)/(5) = 36.](https://img.qammunity.org/2021/formulas/mathematics/middle-school/ij4uwpk13fb4u99osgl845t9ng16ppfh7u.png)
So x = 36°.
The angles of the triangle are 72°, 72°, and 36°.