Question

3 lines are shown. A line with points A, F, D intersects with a line with points B, F, E at point F. Another line extends from point F to point C in between angle B F D. Which are vertical angles? AngleAFE and AngleBFD AngleBFC and AngleDFE AngleAFE and AngleCFD AngleBFC and AngleEFA

Answer 1

Answer:

Option (1) is the correct answer which is  m∠AFE = m∠BFD.

Step-by-step explanation:

When two lines intersect each other at some point then the pair of opposite angle formed by these lines are called vertical angles. vertically opposite angles are equal and congruent.

As shown in Figure 1 below :

A line segment AD intersects line segment BE at point F.

∴ The pair of vertical angles are:

m∠AFB = m∠EFD or

m∠AFE = m∠BFD  

In other words, m∠AFE = m∠BFC + m∠CFD (∵∠BFD = ∠BFC + ∠CFD)

Therefore option (1) is the correct answer which is  m∠AFE = m∠BFD.