How many triangles can be drawn having its angles as 45°, 64° and 72°? Give reason for your answer
Solution:
Given, the measure of angles are 45°, 64° and 72°
We have to determine if triangles can be formed with the given angles.
Consider a triangle ABC
Let A = 45°
Let B = 64°
Let C = 72°
We know that the sum of all three interior angles of a triangle is always equal to 180 degrees.
Now, ∠A + ∠B + ∠C = 180°
∠A + ∠B + ∠C = 45° + 64° + 72°
∠A + ∠B + ∠C = 181°
∠A + ∠B + ∠C is not equal to 180 degrees.
Therefore, no triangle can be formed with the given angles.
✦ Try This: How many triangles can be drawn having its angles as 55°, 63° and 72°? Give reason for your answer.
☛ Also Check: NCERT Solutions for Class 9 Maths Chapter 6
NCERT Exemplar Class 9 Maths Exercise 6.2 Problem 4
How many triangles can be drawn having its angles as 45°, 64° and 72°? Give reason for your answer
Summary:
No triangle can be drawn having its angles as 45°, 64° and 72° as the sum of the angles is not equal to 180 degrees
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