Maharashtra State Board Class 7th Maths Chapter 4 Angles and Pairs of Angles Set 4.1 Solution

Question 1.
Observe the figure and complete the table for ∠AWB.
Maharashtra Board Class 7 Maths Solutions Chapter 4 Angles and Pairs of Angles Practice Set 15 1

Points in the interior
Points in the exterior
Points on the arms of the angles

Solution:

Points in the interiorpoint C, point R, point N, point X
Points in the exteriorpoint T, point U, point Q, point V, point Y
Points on the arms of the anglespoint A, point W, point G, point B

Question 2.
Name the pairs of adjacent angles in the figures below.
Maharashtra Board Class 7 Maths Solutions Chapter 4 Angles and Pairs of Angles Practice Set 15 2
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.
Maharashtra Board Class 7 Maths Solutions Chapter 4 Angles and Pairs of Angles Practice Set 15 3

  1. ∠PMQ and ∠RMQ
  2. ∠RMQ and ∠SMR
  3. ∠RMS and ∠RMT
  4. ∠SMT and ∠RMS

Solution:

  1. ∠PMQ and ∠RMQ are adjacent angles.
  2. ∠RMQ and ∠SMR not adjacent angles since they do not have separate interiors.
  3. ∠RMS and ∠RMT not adjacent angles since they do not have separate interiors.
  4. ∠SMT and ∠RMS are adjacent angles.

Intext Questions and Activities

Question 1.
Observe the figure alongside and write the answers. (Textbook pg. no. 24)
Maharashtra Board Class 7 Maths Solutions Chapter 4 Angles and Pairs of Angles Practice Set 15 4

  1. Write the name of the angle shown alongside___.
  2. Write the name of its vertex___.
  3. Write the names of its arms___.
  4. Write the names of the points marked on its arms___.

Solution:

  1. ∠ABC
  2. Point B
  3. Ray BA, ray BC
  4. Points A, B, C