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 the interior angles of a triangle is 180°. So, 67°+79° + 17z=180°.

Step2: Simplify the left - hand side

First, add 67° and 79°: 67 + 79=146. The equation becomes 146+17z = 180.

Step3: Isolate the variable term

Subtract 146 from both sides of the equation: 17z=180 - 146.
17z = 34.

Step4: Solve for z

Divide both sides by 17: z=\frac{34}{17}.
z = 2.

Answer:

2