Question

The measures of the angles of a triangle are shown in the figure below. Solve for x.

(6x+3)°
27°

Answer 1

x = 10

Explanation:

1. The sum of all angle measures in any triangle is equal to 180 degrees.

• This means that 90 + 6x + 3 + 27 = 180

2. (Solving)

Step 1: Combine like terms.

• 
  `(6x)+(90+3+27)=180`
• 
  `6x + 120 = 180`

Step 2: Subtract 120 from both sides.

• 
  `6x + 120 - 120 = 180 - 120`
• 
  `6x = 60`

Step 3: Divide both sides by 6.

• 
  `(6x)/(6)=(60)/(6)`
• 
  `x = 10`

Therefore, x = 10.