Lines EF and HJ are parallel.
Note: picture not drawn to scale
What is the measure of EGF?
A.
75°
B.
105°
C.
100°
D.
88°
Since lines EF and HJ are parallel, we can determine the measure of EGF by using the corresponding angle theorem. According to this theorem, when two parallel lines are intersected by a transversal, the corresponding angles are congruent.
In this case, angle EGF corresponds to angle JGH.
Since the measure of angle JGH is not given, we cannot determine the measure of EGF.
Therefore, the answer is: Not enough information given to determine the measure of EGF.
Since lines EF and HJ are parallel, we can determine the measure of angle EGF by using the properties of parallel lines and transversals.
When a transversal crosses parallel lines, corresponding angles are congruent. Therefore, angle EGF is equal to the measure of angle GHJ.
Since we don't have the measure of angle GHJ, we cannot directly determine the measure of angle EGF.
Hence, without further information or angles provided, we cannot determine the measure of angle EGF.
To determine the measure of angle EGF, we need to consider the information given in the question - namely, that lines EF and HJ are parallel.
When two lines are parallel, any pair of corresponding angles are congruent. In this case, angle EGF is the corresponding angle to angle HJI.
Since we don't have the measure of angle HJI, we need to find another angle that we can work with. Let's call it angle EGH.
Angle EGH is a supplementary angle to angle HJI because they form a straight line. In other words, the sum of their measures is 180 degrees. Therefore, angle EGH is 180 - HJI.
Since lines EF and HJ are parallel, angle EGF and angle EGH are corresponding angles and are congruent. Therefore, EGF = EGH, and we can express it as 180 - HJI.
Now let's look at the answer choices:
A. 75°
B. 105°
C. 100°
D. 88°
To find the value of angle EGF, we need to know the measure of angle HJI. Without this information, we cannot directly determine the measure of angle EGF.
Therefore, the answer cannot be determined from the given information.