Question

Help me answer please.​

Answer 1

D. 112°

General Formulas and Concepts:

A line is always 180°.

Order of Operations: BPEMDAS

Explanation:

Step 1: Set up equation

m∠ABD + m∠DBC = m∠ABC

(3x + 10) + (2x) = 180°

Step 2: Solve for x

1. Combine like terms: 5x + 10 = 180
2. Subtract 10 on both sides: 5x = 170
3. Divide 5 on both sides: x = 34

Step 3: Find m∠ABD

m∠ABD = 3x + 10

1. Substitute: m∠ABD = 3(34) + 10
2. Multiply: m∠ABD = 102 + 10
3. Add: m∠ABD = 112°