Final Answer:
mZDGE and mZFGE is equal to 22.
Therefore, correct anser is C. mZDGE = 22, mZFGE = 22
Step-by-step explanation:
In a truss where ZDGF is a straight angle, and GB bisects ZDGF , we know that the angles on one side of the bisector are equal to the angles on the other side. Therefore, mZDGE and mZFGE are equal, and the correct answer is C, where both angles are given as 22.
This is due to the Angle Bisector Theorem, which states that if a line bisects an angle in a triangle, it divides the opposite side into segments proportional to the other two sides. In this case, GB bisects ZDGF, leading to equal angles mZDGE and mZFGE.
Understanding geometric theorems, such as the Angle Bisector Theorem, is crucial in solving problems related to angles and triangles. These theorems provide valuable tools for analyzing and deducing relationships within geometric shapes.
Therefore, correct anser is C. mZDGE = 22, mZFGE = 22