Question

statue a company is making different size statues that are in the shape of hour - glasses. use the figure to find the missing measure, x. the figure is not drawn to scale the measure of the missing angle is □°.

Explanation:

Step1: Use vertical angles property

Vertical angles are equal. So the non - labeled angle in the left triangle is equal to the non - labeled angle in the right triangle.

Step2: Use triangle angle sum property

The sum of angles in a triangle is \(180^{\circ}\). In the left triangle, one angle is \(60^{\circ}\), and using the vertical angles property (the non - labeled angles are equal). In the right triangle, let's apply the angle sum formula \(60 + x+ \text{(vertical - angle)}=180\). Since the vertical angles are equal and in the left triangle (if we assume the non - labeled angle is \(y\)), \(60 + y+\text{(another angle)} = 180\), but because of vertical angles, we can directly say \(x = 60\) (because if two angles of one triangle are equal to two angles of another triangle (by vertical angles), the third angles are equal).

Answer:

\(60\)