Answer/Step-by-step explanation:
1. Sides of <4 are [tex] \overline{DG} [/tex] and [tex] \overline{DC} [/tex]
2. Vertex of <2 is the endpoint of the two lines that form <2.
Vertex of <2 is D.
3. Another name of <3 is <EDG
4. <5 is less than 90°. Therefore, <5 is classified as am acute angle.
5. <CDE is a straight angle.
6. m<5 = 42°,
m<1 = 117°
m<1 + m<5 = m<CDF (angle addition postulate)
42° + 117° = m<CDF (Substitution)
159° = m<CDF
7. m<3 = 73°
m<FDG = 90° (DG is perpendicular to DF)
m<FDE + m<3 = 90° (angle addition postulate)
m<FDE + 73° = 90° (substitution)
m<FDE = 90° - 73° (Substitution property of equality)
m<FDE = 17°
