Question

an artist painting from a photo begins with a geometric sketch to match angle measures. what is the value of z?
z =
(type a whole number )

Explanation:

Step1: Recall angle - sum property

The sum of angles on a straight - line is 180°.

Step2: Set up the equation

Let the three angles be 35°, 107°, and z. So, 35 + 107+z = 180.

Step3: Simplify the left - hand side

35+107 = 142, so the equation becomes 142 + z=180.

Step4: Solve for z

Subtract 142 from both sides: z = 180 - 142.
z = 38.

Answer:

38