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