Exercise 5: Practice it yourself

1. (1) \(\overrightarrow{GF}\) has point G as its endpoint.
2. (2) \(\overline{AG}\) has no endpoint.
3. (3) \(\overleftrightarrow{CD}\) has three endpoints.
4. (4) Point D is the vertex of ∠DGB.
5. (5) m(∠AGC) = m(∠BGD)
6. (6) ∠AGF ≅ ∠BGE

1. (1) ∠AGC
2. (2) ∠FGD
3. (3) ∠EGA
4. (4) ∠BGA

Refer to the figure in which m(∠1) = 50^o. Find the measure of each angle or sum of angles.

1. (1) ∠3
2. (2) ∠4
3. (3) m(∠1) + m(∠2) + m(∠3)
4. (4) m(∠2) + m(∠4)

Refer to the figure in which m(∠1) + m(∠3) + m(∠4) = 180^o, ∠3 ≅ ∠4, and ∠4 ≅ ∠5.  Find the measure of each angle

1. m(∠1) = (1)
2. m(∠2) = (2)
3. m(∠3) = (3)
4. m(∠6) = (4)

Refer to the figure below where ∠1 ≅ ∠ACD, ∠1 ≅ ∠2, and ∠BAC ≅ ∠2.

1. What is the complement of ∠BAC? (1)
2. What is the supplement of ∠BAC? (2)

Refer to the figure where ∠EBS ≅ ∠FEB

1. What is the measure of ∠AET? (1)
2. What is the measure of ∠AEF? (2)

1. (1) Find the supplement of the complement of a 51^o angle.
2. (2) Find the complement of the supplement of a 173^o angle.
3. (3) Find the complement of the complement of a 1^o angle.
4. (4) Find the supplement of the supplement of a 6^o angle