Question

4 numeric 1 point find the missing value. x = answer previous next

Explanation:

Step1: Find the adjacent interior angle

The adjacent interior angle to \(116^{\circ}\) is \(180 - 116=64^{\circ}\) since they are supplementary angles (\(a + b=180^{\circ}\) for adjacent angles on a straight line).

Step2: Use the property of an isosceles triangle

The triangle is isosceles (two sides are equal). Let the base - angles be \(x\) and the vertex - angle be \(64^{\circ}\). Using the angle - sum property of a triangle (\(x + x+64 = 180\)). Then \(2x=180 - 64\). So \(2x = 116\), and \(x=\frac{116}{2}\).

Answer:

\(58\)