Question

2 numeric 1 point find the missing value. x = 28° answer previous next

Explanation:

Step1: Use the property of isosceles triangle

In an isosceles triangle, the base angles are equal. The sum of angles in a triangle is \(180^{\circ}\). Let the missing angle be \(x\). The given exterior - adjacent angle is \(28^{\circ}\), so the interior angle adjacent to it is \(180 - 28=152^{\circ}\).

Step2: Apply the angle - sum formula

Since the triangle is isosceles (two sides are equal), \(x + x+152 = 180\). Combine like terms: \(2x=180 - 152\).

$$2x = 28$$

Divide both sides by 2: \(x=\frac{28}{2}\)

Answer:

14