Question

a company is making different size statues that are in the shape of hour - glasses. use the figure to find the missing measure, (x^{circ}). the figure is not drawn to scale. the measure of the missing angle is (square^{circ})

Explanation:

Step1: Recall vertical - angle property

Vertical angles are equal. The two non - x angles are vertical angles, so they are equal.

Step2: Use angle - sum property of a triangle

In the top triangle, the sum of interior angles of a triangle is 180°. Let the non - x angles be equal to 60°. So, 60°+x°+x° = 180°.

Step3: Solve the equation for x

Combining like terms gives 60 + 2x=180. Subtract 60 from both sides: 2x=180 - 60 = 120. Then divide both sides by 2: x = 60.

Answer:

60