Question

What is the value of x?

Answer 1

20

Explanation:

x+40=3x (opposite angles are the same)

subtract x

40=2x

divide by 2

x=20

Answer 2

x = 20

General Formulas and Concepts:

Algebra I

Equality Properties

• Multiplication Property of Equality
• Division Property of Equality
• Addition Property of Equality
• Subtraction Property of Equality

Terms/Coefficients

Geometry

Vertical Angles

Explanation:

Step 1: Define

Identify: ∠TRS is an vertical angle to ∠VRW

x + 40 = 3x

Step 2: Solve for x

1. [Subtraction Property of Equality] Subtract x on both sides: 40 = 2x
2. [Division Property of Equality] Divide 2 on both sides: 20 = x
3. Rewrite: x = 20