Question

20 POINTS!!! What is m∠KNL?

Answer 1

Answer:

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

Step-by-step 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°