Question

Find E and F!! Please and thanks!

Answer 1

m∠E = 61°

m∠F = 61°

General Formulas and Concepts:

Pre-Alg

• Equality Properties

Geometry

• Congruent Angles
• All angles in a triangle add up to 180°

Explanation:

Step 1: Define

m∠D = 58°

m∠E = m∠F = x

Step 2: Set up equation

58 + x + x = 180

Step 3: Solve for x

1. Combine like terms: 58 + 2x = 180
2. Subtract 58 on both sides: 2x = 122
3. Divide 2 on both sides: x = 61°

Step 4: Find angle measures

1. Define: m∠E = x°
2. Substitute: m∠E = 61°

1. Define: m∠F = x°
2. Substitute: m∠F = 61°