Chapter 4 Angles and Pairs of Angles Set 4.1
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