Question

for exercises 1 - 10, use the figure at the right. 1. ∠5 name the vertex of each angle. 2. ∠3 3. ∠8 name the sides of each angle. 4. ∠wmp 5. ∠6 6. ∠2 7. ∠mop 8. ∠omn

Explanation:

Step1: Recall vertex - side relationship

The vertex of an angle is the common endpoint of the two rays that form the angle. The sides of an angle are the two rays.

Step2: Identify vertex for ∠5

The vertex of ∠5 is point M as the two rays forming ∠5 meet at M.

Step3: Identify sides for ∠5

The sides of ∠5 are rays MW and MO.

Step4: Identify vertex for ∠3

The vertex of ∠3 is point A as the two rays forming ∠3 meet at A.

Step5: Identify sides for ∠3

The sides of ∠3 are rays AR and AO.

Step6: Identify vertex for ∠WMP

The vertex of ∠WMP is point M as the two rays forming ∠WMP meet at M.

Step7: Identify sides for ∠WMP

The sides of ∠WMP are rays MW and MP.

Step8: Identify vertex for ∠2

The vertex of ∠2 is point A as the two rays forming ∠2 meet at A.

Step9: Identify sides for ∠2

The sides of ∠2 are rays AO and AR.

Step10: Identify vertex for ∠6

The vertex of ∠6 is point O as the two rays forming ∠6 meet at O.

Step11: Identify sides for ∠6

The sides of ∠6 are rays OW and OY.

Step12: Identify vertex for ∠MOP

The vertex of ∠MOP is point O as the two rays forming ∠MOP meet at O.

Step13: Identify sides for ∠MOP

The sides of ∠MOP are rays OM and OP.

Step14: Identify vertex for ∠OMN

The vertex of ∠OMN is point M as the two rays forming ∠OMN meet at M.

Step15: Identify sides for ∠OMN

The sides of ∠OMN are rays MO and MN.

Answer:

1. Vertex of ∠5: M; Sides of ∠5: MW, MO
2. Vertex of ∠3: A; Sides of ∠3: AR, AO
3. Vertex of ∠WMP: M; Sides of ∠WMP: MW, MP
4. Vertex of ∠2: A; Sides of ∠2: AO, AR
5. Vertex of ∠6: O; Sides of ∠6: OW, OY
6. Vertex of ∠MOP: O; Sides of ∠MOP: OM, OP
7. Vertex of ∠OMN: M; Sides of ∠OMN: MO, MN