(1) The measure of the angle CFD = 48°.
(2) The measure of the angle AFE = 48°.
(3) Pair of supplementary angles: Angle BFC and angle CFD.
(4) Pair of adjacent angles: Angle AFB and angle BFD.
What are the properties of angles?
The angle properties of lines are:
Vertically opposite angles are equal, for example, a = d, b = c.
Adjacent angles add to 180, for example, a + b = 180, a + c = 180. Corresponding angles are equal, for example, a = e, b = f, c = g, d= h.
(2) In the given figure, m∠BFC = 42°
By using the property of linear pair, we can write
∠BFC + ∠CFD = 180
42 + ∠CFD = 180
∠CFD = 58.
(2) Angle CFD and angle AFE are opposite angles and opposite angles are same in measurement so we can write
m∠AFE = 58°.
(3) Pair of supplementary angles: Angle BFC and angle CFD.
(4) Pair of adjacent angles: Angle AFB and angle BFD.
Hence,
(1) The measure of the angle CFD = 48°.
(2) The measure of the angle AFE = 48°.
(3) Pair of supplementary angles: Angle BFC and angle CFD.
(4) Pair of adjacent angles: Angle AFB and angle BFD.
To learn more about angle properties, visit:
https://brainly.com/question/12767194
#SPJ1
