Question

23 find the measure of the \?\ or \x\. 53° ? =

Explanation:

Step1: Identify the triangle type

The triangle is isosceles (two sides equal), so base angles are equal.

Step2: Use angle - sum property of a triangle

Sum of angles in a triangle is \(180^{\circ}\). Let \(x\) be the vertex angle. Then \(x + 53^{\circ}+53^{\circ}=180^{\circ}\).

Step3: Solve for \(x\)

\(x=180^{\circ}-(53^{\circ}+53^{\circ})\)
\(x = 180^{\circ}-106^{\circ}\)
\(x = 74^{\circ}\)

Answer:

\(74\)