Question

Help please for 40 points!! This is due tonight and i don’t know how to do it

Answer 1

x = -8

m∠BDC = 68°

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

• Definition of a Line: A line is 180°

Step-by-step explanation:

Step 1: Set up Equation

m∠BDC + m∠CDA = 180°

(-7x + 12)° + (-8x + 48)° = 180°

Step 2: Solve for x

1. Combine like terms: -15x + 60 = 180
2. Isolate x term: -15x = 120
3. Isolate x: x = -8

Step 3: Find m∠BDC

1. Define: m∠BDC = (-7x + 12)°
2. Substitute in x: m∠BDC = (-7(-8) + 12)°
3. Multiply: m∠BDC = (56 + 12)°
4. Add: m∠BDC = 68°