Based on the description of the illustration, we can determine that angle DOC is formed by the rays OD and OC. From the image, we can see that there are two more rays, OA and OE, that emerge from the common point O. These rays intersect with the rays OD and OC at points A and E, respectively.
Therefore, there are two angles adjacent to angle DOC: angle AOC and angle DOE.
Use the image to answer the question.
An illustration shows five rays with points near the arrows labeled A, B, C, D, and E in a counterclockwise direction, emerging from a common point labeled O. The points A, O, and E fall on a straight line.
How many angles are adjacent to angle DOC ?
3 answers
If m∠BOA is 180° and m∠BOC is 110° , what is the measure of ∠COA ?(1 point)
If angle BOA is 180° and angle BOC is 110°, then the sum of angles BOA and BOC is 180° + 110° = 290°.
Since angle COA is formed by the rays CO and OA, it is the remaining angle in the triangle formed by angles BOA, BOC, and COA.
The sum of the angles in a triangle is always 180°.
Therefore, the measure of angle COA is 180° - 290° = -110°.
Since angle COA is formed by the rays CO and OA, it is the remaining angle in the triangle formed by angles BOA, BOC, and COA.
The sum of the angles in a triangle is always 180°.
Therefore, the measure of angle COA is 180° - 290° = -110°.