There is a triangular metal structure as shown forming an isosceles triangle. If the unequal angle measures 30, what is the measurement of the equal angles?

1. In an isosceles triangle, two sides and the angles opposite them are equal.
2. The sum of angles in any triangle is 180^\circ .
3. Let the measure of the equal angles be x .
4. The equation is 2x + 30 = 180 .
5. Solve for x :

2x = 150 \\
x = \frac{150}{2} = 75 .

6. The measurement of the equal angles is 75^\circ .