Question

find the value of x. (mangle2=x + 85) a. -12 b. -6 c. 7 d. 11

Explanation:

Step1: Identify isosceles triangle

The triangle has two equal - side markings, so it is isosceles and the base - angles are equal. 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: \(x=73 - 85\). So \(x=-12\).

Answer:

A. -12