Question

find the value of x.
(an isosceles triangle with two equal sides marked, one base angle 77 degrees, and the vertex angle x)
enter the correct number in the box.
show hints

Explanation:

Step1: Identify the triangle type

The triangle is isosceles (two equal - side marks), so the base angles are equal. One base angle is \(77^{\circ}\), so the other base angle is also \(77^{\circ}\).

Step2: Use the angle - sum property of a triangle

The sum of angles in a triangle is \(180^{\circ}\). Let \(x\) be the unknown angle. Then \(x + 77^{\circ}+77^{\circ}=180^{\circ}\).

Step3: Solve for \(x\)

$$
LATEXBLOCK0
$$

Answer:

\(26\)