NCERT Exemplar Solutions
Class 6 - Mathematics - Unit 2: Geometry - True or False Questions
Question 37

Question. 37

Measures of ∠ABC and ∠CBA in Fig. 2.23 are the same.

Answer:

false

Detailed Answer with Explanation:

Read the angle name carefully.

  1. The middle letter shows the vertex. Here, both angles have vertex B.
  2. For \(\angle ABC\):
    \(\text{arms: } \overrightarrow{BA}\)
    \(\text{and } \overrightarrow{BC}\)
  3. For \(\angle CBA\):
    \(\text{arms: } \overrightarrow{BC}\)
    \(\text{and } \overrightarrow{BA}\)
  4. The order of the arms is reversed. In Fig. 2.23 this gives two different openings around B.
  5. Different openings mean different measures. So the statement is false.
NCERT Exemplar Solutions Class 6 – Mathematics – Unit 2: Geometry – True or False Questions | Detailed Answers