Question

Vertical Angles: Vertical angles are angles that are opposite of each other when two straight lines cross. In

the diagram in #5, ZGEF and ZMEH are a pair of vertical angles while ZFEM and ZHEG are also.
(a) Given the results of your calculations in #5, what can you say about the measure of vertical angles?

(b) Why do you think this occurs?

Answer 1

9514 1404 393

Answer:

• vertical angles are congruent
• both are supplementary to the same angle

Explanation:

Given the results of #5 are ...

∠GEF = 120, 150, 155, 135

∠FEM = 60, 30, 25, 45

∠MEH = 120, 150, 155, 135

∠HEG = 60, 30, 25, 45

__

(a) We can see that vertical angles are congruent.

(b) Each of a pair of vertical angles is supplementary to the same angle.

∠GEF and ∠MEH are both supplementary to ∠FEM and to ∠HEG

∠FEM and ∠HEG are both supplementary to ∠GEF and to ∠MEH