Question 1.

Observe the figure and complete the table for ∠AWB.

Points in the interior | |

Points in the exterior | |

Points on the arms of the angles |

Solution:

Points in the interior | point C, point R, point N, point X |

Points in the exterior | point T, point U, point Q, point V, point Y |

Points on the arms of the angles | point A, point W, point G, point B |

Question 2.

Name the pairs of adjacent angles in the figures below.

Solution:

i. ∠ANB and ∠ANC

∠BNA and ∠BNC

∠ANC and ∠BNC

ii. ∠PQR and ∠PQT

Question 3.

Are the following pairs adjacent angles? If not, state the reason.

- ∠PMQ and ∠RMQ
- ∠RMQ and ∠SMR
- ∠RMS and ∠RMT
- ∠SMT and ∠RMS

Solution:

- ∠PMQ and ∠RMQ are adjacent angles.
- ∠RMQ and ∠SMR not adjacent angles since they do not have separate interiors.
- ∠RMS and ∠RMT not adjacent angles since they do not have separate interiors.
- ∠SMT and ∠RMS are adjacent angles.

**Intext Questions and Activities**

Question 1.

Observe the figure alongside and write the answers. (Textbook pg. no. 24)

- Write the name of the angle shown alongside___.
- Write the name of its vertex___.
- Write the names of its arms___.
- Write the names of the points marked on its arms___.

Solution:

- ∠ABC
- Point B
- Ray BA, ray BC
- Points A, B, C