The unfolded angle CОD is divided by the OM beam into two angles, so the angle DOM is five times

The unfolded angle CОD is divided by the OM beam into two angles, so the angle DOM is five times the angle COM. Find the degree measure of the COM angle and the DOM angle.

By the condition of the task, it is known that the angle COD is unfolded.

This angle is divided by the OM beam into two angles, while the DOM angle is five times greater than the COM angle.

It is required to calculate the degree measure of the angles COM and DOM.

Let’s designate the degree measure of the smaller angle COM as “x”, then the degree measure of the larger angle will be equal to “5x”.

It is known that the degree measure of the unfolded angle is 180 °.

Let’s compose and solve the equation.

x + 5x = 180,

6x = 180,

x = 180/6 = 30 ° is equal to the angle COM.

Let’s find the degree measure of the angle DOM.

30 * 5 = 150 °.