Final answer:
The measure of angle EOG is the sum of the measures of angle EOF and angle FOG, which equals 64 degrees.
Step-by-step explanation:
If the measure of angle EOF is 26 degrees and the measure of angle FOG is 38 degrees, to find the measure of angle EOG, one needs to understand that the angle EOG is the sum of angle EOF and angle FOG if these three angles meet at a common vertex O and form a straight line.
To calculate the measure of angle EOG:
- Add the measure of angle EOF and angle FOG.
- Measure of angle EOF = 26 degrees.
- Measure of angle FOG = 38 degrees.
- Measure of angle EOG = 26 degrees + 38 degrees.
- Therefore, the measure of angle EOG is 64 degrees.
Angles are geometric figures formed by two rays or two line segments that share a common endpoint called the vertex. They're measured in degrees and often described based on the amount of rotation needed to bring one ray or segment to coincide with the other.
There are several types of angles, categorized based on their measures:
Acute angle: An angle that measures less than 90 degrees.
Right angle: An angle that measures exactly 90 degrees. It forms a perfect "L" shape.
Obtuse angle: An angle that measures more than 90 degrees but less than 180 degrees.