The angle AOB, the degree measure of which is 135 degrees, is divided into 9 equal parts. Of these, 2 parts are the AOD angle

The angle AOB, the degree measure of which is 135 degrees, is divided into 9 equal parts. Of these, 2 parts are the AOD angle, 3 parts are the DOE angle, and the remaining parts are the EOB angle. How many degrees does each of these angles contain?

Angle AOB = 135 degrees 1 part = 135/9 1 part = 15 degrees Angle AOD = 2 parts => 2 * 15 = 30 degrees. DOE angle = 3 parts => 3 * 15 = 45 degrees EOB angle = 9-2-3 = 4 parts => 4 * 15 = 60 degrees Answer. ∠AOD = 30 °, ∠DOE = 45 °, ∠EOB = 60 °.