Question

Given the figure below, find the values of x and z

Answer 1

m∠z = 99°

x = 12

General Formulas and Concepts:

Geometry

• Supplementary Angles: Angles that add up to 180°
• Vertical Angles

Explanation:

Step 1: Find m∠z

99° and z° are Vertical Angles.

m∠z = 99°

Step 2: Find x

m∠z and (7x - 3) must add up to 180° since they are Supplementary.

1. Set up equation: m∠z + (7x - 3) = 180
2. Substitute: 99 + 7x - 3 = 180
3. Combine like terms: 7x + 96 = 180
4. Isolate x term: 7x = 84
5. Isolate x: x = 12