The triangle in the diagram is a right-angled triangle. This means that one of the measures of the angles is 90°.
We know that the sum of the angles in a triangle is 180°.
In the diagram, two angles are represented by 'x', indicating that those two angles are of the same measures.
And we know that one of the angles is 90°.
So according to the angle-sum property, the following equation can be framed:
x + x + 90° = 180°
Solving the equation,
2x + 90° = 180°
2x = 180° - 90°
2x = 90°
x = 90°/2
x = 45°
Therefore, the value of x is 45°.
Hope it helps. :)