The OC beam divides the swept angle AOB into two so that the AOC angle is 40 degrees greater

The OC beam divides the swept angle AOB into two so that the AOC angle is 40 degrees greater than the BOC angle. Find the AOC and BOC values.

1. Suppose the degree measure of the BOC angle is x degrees.

2. Determine how many degrees the AOC angle is.

(x + 40) degrees.

3. Draw up an equation to calculate the BOC angle.

x + x + 40 = 180;

2x = 140;

x = 140/2 = 70;

BОС = 70 °.

4. Find out the value of AOC.

x + 40 = 70 + 40 = 110 °.

Answer: 70 ° and 110 °.



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