Sum of any two angles of a triangle is always greater than the third angle. State whether the statement is true or false.
Solution:
Given, the sum of any two angles of a triangle is always greater than the third angle.
We have to determine if the given statement is true or false.
Consider a triangle ABC,
Let ∠A = 30°, ∠B = 40° and ∠C = 110°
According to the question,
Sum of any two angles = ∠A + ∠B
= 30° + 40°
= 70°
Third angle, ∠C = 110°
We observe that ∠A + ∠B < ∠C
Therefore, the sum of any two angles of a triangle is not always greater than the third angle.
✦ Try This: Sum of any two angles of a triangle is always equal to the third angle. State whether the statement is true or false.
☛ Also Check: NCERT Solutions for Class 7 Maths Chapter 6
NCERT Exemplar Class 7 Maths Chapter 6 Problem 74
Sum of any two angles of a triangle is always greater than the third angle. State whether the statement is true or false.
Summary:
The given statement,”Sum of any two angles of a triangle is always greater than the third angle” is false.
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