Ray OX bisects angle AOC and angle AOX =42 degrees, angle AOC is:
42 degrees
84 degrees
21 degrees
68 degrees
To determine the measure of angle AOC, we need to use the fact that ray OX bisects angle AOC. This means that angle AOX and angle COX are congruent, which leads to the following equation:
angle AOX = angle COX
Given that angle AOX has a measure of 42 degrees, we can substitute this value into the equation:
42 degrees = angle COX
Since angle AOC is the sum of angles AOX and COX, we need to find the measure of angle COX to determine the measure of angle AOC.
Since angle AOC is bisected by ray OX, angle COX is congruent to angle COA. This means that:
angle COX = angle COA
Therefore, we can rewrite the equation as:
42 degrees = angle COA
So, angle COA has a measure of 42 degrees.
Since angle AOC is the sum of angles AOX and angle COA, we have:
angle AOC = angle AOX + angle COA
= 42 degrees + 42 degrees
= 84 degrees
Therefore, the correct answer is 84 degrees.
To find the measure of angle AOC, we need to use the fact that ray OX bisects angle AOC.
Since ray OX bisects angle AOC, it divides it into two equal angles. Therefore, angle AOX is equal to angle COX.
We are given that angle AOX measures 42 degrees. Since angle COX is equal to angle AOX, angle COX also measures 42 degrees.
Now, to find the measure of angle AOC, we add the measures of angle AOX, angle COX, and angle COA.
angle AOC = angle AOX + angle COX + angle COA
Since angle AOX and angle COX both measure 42 degrees, we have:
angle AOC = 42 degrees + 42 degrees + angle COA
By substituting the values, we have:
angle AOC = 84 degrees + angle COA
Therefore, the measure of angle AOC is 84 degrees + angle COA.
Unfortunately, the value of angle COA is not provided, so we cannot determine the exact measure of angle AOC.
come on, guy.
Bisects means cuts into two equal parts.
If one of those parts is 42, what is the whole?