Answer:
x = 14
Explanation:
It is given that ∠AOB is a straight line. The definition of a line states that it is 180°, so any line equals to a measure of 180°.
Step 1: Set up equation
m∠AOC + m∠COD + m∠DOB = 180°
(5x) + (3x + 30) + (2x + 10) = 180°
Step 2: Solve for x
- Combine like terms: 10x + 40 = 180
- Subtract 40 on both sides: 10x = 140
- Divide 10 on both sides: x = 14
Step 3: Check
Plug in x to verify it's a solution.
- Substitute: 10(14) + 40 = 180
- Evaluate: 140 + 40 = 180
- Evaluate: 180 = 180