Question

given △abc, which equation would be used to find the value of x?

Explanation:

Step1: Recall angle - sum property of a triangle

The sum of the interior angles of a triangle is 180°. So, \(\angle A+\angle B+\angle C = 180^{\circ}\). Since the triangle has two equal - side markings, \(\angle B=\angle C\). Let \(\angle A=(2x + 2)^{\circ}\) and \(\angle B=(3x + 1)^{\circ}\), then \(\angle C=(3x + 1)^{\circ}\).

Step2: Set up the equation

\((2x + 2)+(3x + 1)+(3x + 1)=180\)

Answer:

\((2x + 2)+(3x + 1)+(3x + 1)=180\)