Question

Who’s good at geometry doing angles and naming them

Answer 1

Explanation:

1). Angle BFC and angle DFE,

Vertical angles.

2). Angle BFA and angle DFE,

Neither

3). Angle BFC and angle CFD,

Linear pair of angles.

4). Angle AFE and angle AFC,

Linear pair of angles.

5). Angle BFE and angle CFD,

Vertical angles.

6). m∠AFB + m∠AFE + m∠EFD = 180° [Linear angles]

Since, m∠AFB = m∠EFD = 50°

Therefore, 50° + m∠AFE + 50° = 180°

m∠AFE = 180 - 100

= 80°

7). m∠DFC = m∠BFE [Vertical angles]

m∠BFE = m∠BFA + m∠AFE

= 50° + 80°

= 130°

Therefore, m∠DFC = 130°