Question

the diagram shows a triangle. what is the value of z? z = °

Explanation:

Step1: Recall angle - sum property of a triangle

The sum of interior angles of a triangle is 180°. So, 42°+33°+(z + 2)=180°.

Step2: Simplify the left - hand side

42+33+(z + 2)=75+z + 2=z + 77.

Step3: Solve for z

We have the equation z + 77=180. Subtract 77 from both sides: z=180 - 77.
z = 103

Answer:

103