From the vertex of the right angle BOM, two beams OA and OC are drawn so that the angle BOC = 74 ° degrees

From the vertex of the right angle BOM, two beams OA and OC are drawn so that the angle BOC = 74 ° degrees, angle AOM = 62 °. Calculate the magnitude of the angle AOC.

Explanation:

Consider four cases:

1) points A and C lie inside the PTO angle

2) point A lies outside, and point C – inside the PTO angle

3) point A lies inside, and point C – outside the PTO angle

4) points A and C lie outside the PTO angle

In each case, we will use the axiom of measuring angles (the degree measure of the angle is equal to the sum of the degree measures of the angles into which it is split by any ray passing between its sides).

We get four possible angle values: 46, 78, 102 or 134 degrees.