# From the vertex of the unfolded angle EOK, the bisector OC and the ray

July 23, 2021 | education

| **From the vertex of the unfolded angle EOK, the bisector OC and the ray OM are drawn so that СОМ = 33 *. What can be the degree measure of EOM?**

An unfolded angle if all three points lie on the same straight line. The degree measure of such an angle is 180. angle EOK = 180 degrees. CO bisector, i.e. beam bisecting the angle.

Angle EOC = angle COK = 90.

We are not told where the OM beam is, so we analyze two possible options.

If the beam ОМ cuts the angle СОК, then the angle ЕОМ = angle ЕОС + angle СОМ = 90 + 33 = 123 degrees.

If the beam OM passes between the sides of the EO and the OC of the EOC angle, then the EOM angle = EOC angle – the COM angle = 90-33 = 57 degrees.

Answer: 123 degrees or 57 degrees.

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