Question

Please help asap!!!!!!​

Answer 1

56

Explanation:

1. We can use the exterior angle theorem to find the value of y. The exterior angle theorem states that the exterior angle of a triangle is equal to the sum of the two remote sides. This means that (y - 25) + (y + 12) = y + 43

2. (Solving)

Step 1: Simplify both sides of the equation.

• 
  `y + 43 = y - 25 + y + 12`
• 
  `y + 43 = (y+y)+(-25+12)`
• 
  `y + 43 = 2y -13`

Step 2: Subtract 2y from both sides.

• 
  `y + 43 - 2y = 2y - 13 - 2y`
• 
  `-y + 43 = 13`

Step 3: Subtract 43 from both sides.

• 
  `-y + 43 - 43 = 13 - 43`
• 
  `-y = -56`

Step 4: Divide both sides by -1.

• 
  `(-y)/(-1) = (-56)/(-1)`
• 
  `y = 56`

Step 5: Check if solution is correct.

• 
  `(56) + 43 = (56) - 25 + (56) + 12`
• 
  `109 = 31 + 56 + 12`
• 
  `99 = 87 +12`
• 
  `99 = 99`

Therefore, y = 56.