Question

Quiz 1-2 angle measure and relationships Unit 1: basics

Answer 1

Answer/Step-by-step explanation:

1. Sides of <4 are $\overline{DG}$ and $\overline{DC}$

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°