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What is the value of x?

14

Step-by-step explanation:

∠AOB is a straight angle, meaning that it is 180°.  Since ∠AOC, ∠COD, and ∠DOB are within ∠AOB, the sum of all of the angles is equal to 180°.

∠AOC + ∠COD + ∠DOB = ∠AOB

(5x) + (3x + 30) + (2x + 10) = 180

5x + 3x + 30 + 2x + 10 = 180

10x + 30 + 10 = 180

10x + 40 = 180

10x + 40 - 40 = 180 - 40

10x = 140

10x/10 = 140/10

x = 14

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