Question

Tell whether the angels are adjacent or vertical. Then find the value of x.

(please show how you solved the problem!)

Answer 1

Angles: adjacent

x = 18

Explanation:

Adjacent Angles: angles that border each other to the left/right

Vertical Angles: opposite set of angles that are congruent

Given these definitions, these angles are not only adjacent, but also right angles. Right angles add to 90°.

• Thus, 3x + 2x = 90

Step 1: Combine like terms.

• 
  `3x + 2x = 90`
• 
  `5x = 90`

Step 2: Divide both sides by 5.

• 5x ÷ 5 = 90 ÷ 5
• x = 18

Therefore, the answer is adjacent and x = 18.