Question

find the value of x. m∠2 = x + 85

Explanation:

Step1: Recognize isosceles triangle

The triangle has two equal - side markings, so the base - angles are equal. One base - angle is \(73^{\circ}\), so \(m\angle2 = 73^{\circ}\).

Step2: Set up equation

Since \(m\angle2=x + 85\) and \(m\angle2 = 73^{\circ}\), we set up the equation \(x+85=73\).

Step3: Solve for x

Subtract 85 from both sides of the equation: \(x=73 - 85\).
\(x=-12\)

Answer:

A. -12