# The OC beam divides the right angle AOB so that the AOC angle is 34 ° greater than the BOC angle. Find the BOC angle.

August 28, 2021 | education

| A right angle has a degree measure of 90 °.

The OS beam divides it into two parts – two corners. Let’s designate a smaller angle ∠BOC = x °, then ∠AOC = (x + 34) °.

Let’s make the equation:

x + (x + 34 °) = 90 °;

2x + 34 ° = 90 °;

2x = 90 ° – 34 °;

2x = 56 °;

x = 56 °: 2;

x = 28 ° – ∠BOC.

Answer: 28 °.

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