Adjacent angles (AOB and BOC) are 3 to 15. Find these angles.

univerkov | May 11, 2021 | education

Let the value of the angle AOB be equal to 3 * X0, then, according to the condition, the value of the angle BOC will be equal to 15 * X0.

Since the sum of adjacent angles is 180, then (3 * X + 15 * X) = 180.

18 * X = 180.

X = 180/18 = 10.

Then the angle AOB = 3 * 10 = 40, angle BOC = 15 * 10 = 150.

Answer: The AOB angle is 30, the BOC angle is 150.

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