Question

Answer each of the questions for the following diagram:

1. What type of angles are these? 2. Solve for x. What does x equal? 3. What is the measure of the angles?

Answer 1

vertical angles, x=5 The angles each measure 35 degrees

Explanation:

These are vertical angles, so they are equal

3x+20 = 10x-15

Subtract 3x from each side

3x+20-3x = 10x-13-3x

20 = 7x-15

Add 15 to each side

20+15 = 3x-15+15

35=7x

Divide by 7

35/7 = 7x/7

5 =x

The angles are equal so they each measure

3x+20 = 3(5)+20 = 15+20 = 35

The each measure 35