Question

20 POINTS!!!
What is m∠KNL?

Answer 1

m∠KNL = 102°

General Formulas and Concepts:

Pre-Alg

• Order of Operations: BPEMDAS
• Equality Properties

Geometry

• Vertical Angles: angles that are opposite of each other congruent

Explanation:

Step 1: Set up equation

5x + 2 = 3(x + 14)

Step 2: Solve for x

1. Distribute 3: 5x + 2 = 3x + 42
2. Subtract 3x on both sides: 2x + 2 = 42
3. Subtract 2 on both sides: 2x = 40
4. Divide 2 on both sides: x = 20

Step 3: Find m∠KNL

1. Define: m∠KNL = 3(x + 14)°
2. Substitute: m∠KNL = 3(20 + 14)°
3. Add: m∠KNL = 3(34)°
4. Multiply: m∠KNL = 102°