Answer:
x = 30°
Explanation:
The sum of angles in a triangle is 180°, so you have ...
60° +2x +60° = 180°
2x = 60° . . . . . . . . .subtract 120° from both sides
x = 30° . . . . . . . . . . divide by 2
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Since the triangle is isosceles (base angles are congruent), the angle bisector is also an altitude that divides the triangle into congruent 30°-60°-90° triangles. The measure of the angle marked x is 30°.