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^circ )
the figure is not drawn to scale
the measure of the missing angle is ( square^circ )

Explanation:

Step1: Identify vertical angles

Vertical angles are equal, so the angle between the two triangles is also \(63^\circ\) for the top triangle.

Step2: Use triangle angle sum

The sum of angles in a triangle is \(180^\circ\). Let the missing angle be \(x\). So, \(66^\circ + 63^\circ + x = 180^\circ\).

Step3: Solve for \(x\)

First, calculate \(66 + 63 = 129\). Then, \(x = 180 - 129 = 51\).

Answer:

\(51\)