Respuesta :

Space

Answer:

D. 55°

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right

Equality Properties

Geometry

  • All angles in a triangle add up to 180°

Step-by-step explanation:

Step 1: Set Up Equation

40° + (y + 30)° + y° = 180°

Step 2: Solve for y

  1. Combine like terms:                    2y° + 70° = 180°
  2. Isolate y term:                              2y° = 110°
  3. Isolate y:                                       y° = 55°
D. 55
Explanation: 3 angles of a triangle must equal 180 so use the formula 180=(angle 1) +(angle 2) +(angle 3)
180=(40)+(y)+(y+30)
Test every answer until you get 180=180
180=40+55+(55+30)
180=40+55+85
180=180
So the answer is 55

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