Question

what is the value of y? a 42 b 85 c 88 d 95

Explanation:

Step1: Use angle - sum property of a triangle

The sum of interior angles of a triangle is 180°. Consider the triangle with angles \(y^{\circ}\), \(42^{\circ}\), and \(50^{\circ}\) (since \(95^{\circ}- 45^{\circ}=50^{\circ}\)).

Step2: Set up the equation

We know that \(y + 42+50=180\).

Step3: Solve for \(y\)

\(y=180-(42 + 50)=180 - 92=88\).

Answer:

C. 88