Use the Vertical Angles Theorem to name a pair of congruent angles in the image shown.
Line C M, line F G, and line Y X all intersect at point B, forming angle C B X, angle G B X, angle M B G, angle M B Y, angle F B Y, and angle F B C.
(1 point)
Responses
angle F B C; angle C B X
Image with alt text: angle F B C; angle C B X
angle F B C; angle G B X
Image with alt text: angle F B C; angle G B X
angle F B Y; angle G B X
Image with alt text: angle F B Y; angle G B X
angle F B Y; angle M B G
The correct answer is: angle F B C; angle C B X
The pair of congruent angles formed by the image shown using the Vertical Angles Theorem are angle FBC and angle CBX.
To use the Vertical Angles Theorem, we need to identify pairs of angles that are formed by the intersection of two lines, but which are also opposite each other (i.e., they share a common vertex and their sides are opposite rays).
Looking at the given image, we can see that angle FBC and angle CBX fit this criteria. They are formed by the intersection of lines BC and FX, and they share the common vertex B. Additionally, their sides are opposite rays, making them a pair of vertical angles. Therefore, the correct answer is:
angle FBC; angle CBX