The AOD angle is 87 degrees; the OC beam is drawn inside this angle.

The AOD angle is 87 degrees; the OC beam is drawn inside this angle. find the degree measure of the angle AOC, if the angle BOC = 52 degrees

Given:

angle AOB = 87 degrees,

a beam OС is drawn inside the AOB corner,

angle BОС = 52 degrees,

Find the degree measure of the angle AOC -?

Solution:

Consider the angle AOB. The OC beam splits this angle into the AOC angle and the COB angle. Therefore, the degree measure of the angle AOB = angle AOC + angle COB.

Then the AOC angle = the AOB angle – the COB angle;

angle AOC = 87 – 52;

angle AOC = 35 degrees.

Answer: AOC angle = 35 degrees.