NCERT Exemplar Solutions
Class 6 - Mathematics - Unit 2: Geometry - True or False QuestionsQuestion 37
Class 6 - Mathematics - Unit 2: Geometry - True or False Questions
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.
- The middle letter shows the vertex. Here, both angles have vertex B.
-
For \(\angle ABC\):
\(\text{arms: } \overrightarrow{BA}\)
\(\text{and } \overrightarrow{BC}\) -
For \(\angle CBA\):
\(\text{arms: } \overrightarrow{BC}\)
\(\text{and } \overrightarrow{BA}\) - The order of the arms is reversed. In Fig. 2.23 this gives two different openings around B.
- Different openings mean different measures. So the statement is false.