Question

Suppose m<3=127 degrees. Find m<1.

Answer 1

m∠1 = 37°

General Formulas and Concepts:

Pre-Algebra

• Order of Operations: BPEMDAS
• Equality Properties

Geometry

• Definition of a Line: A line is 180°
• All angles in a triangle add up to 180°

Explanation:

Step 1: Define

m∠3 = 127°

m∠G = 90°

Step 2: Find m∠2

1. Set up equation: m∠2 + 127 = 180
2. Isolate unknown: m∠2 = 53°

Step 3: Find m∠1

1. Set up equation: m∠1 + m∠2 + m∠G = 180
2. Substitute: m∠1 + 53 + 90 = 180
3. Combine like terms: m∠1 + 143 = 180
4. Isolate unknown: m∠1 = 37°