Question

the diagram shows a triangle. what is the value of z? z = (square^{circ})

Explanation:

Step1: Recall angle - sum property of a triangle

The sum of the interior angles of a triangle is 180°. So, 72°+58° + 2z=180°.

Step2: Simplify the left - hand side

72 + 58=130, so the equation becomes 130+2z = 180.

Step3: Solve for z

Subtract 130 from both sides: 2z=180 - 130, 2z = 50. Then divide both sides by 2: z = 25.

Answer:

25