Answer:
m∠z = 99°
x = 12
General Formulas and Concepts:
Geometry
- Supplementary Angles: Angles that add up to 180°
- Vertical Angles
Step-by-step 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.
- Set up equation: m∠z + (7x - 3) = 180
- Substitute: 99 + 7x - 3 = 180
- Combine like terms: 7x + 96 = 180
- Isolate x term: 7x = 84
- Isolate x: x = 12
