How many triangles can be drawn having its angles as 53°, 64° and 63°? Give reason for your answer
Solution:
Given, the measure of angles are 53°, 64° and 63°
We have to determine if triangles can be formed with the given angles.
Consider a triangle ABC
Let A = 53°
Let B = 64°
Let C = 63°
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 = 53° + 64° + 63°
∠A + ∠B + ∠C = 180°
∠A + ∠B + ∠C is equal to 180 degrees.
Therefore, infinitely many triangles can be formed with the given measure of angles.
✦ Try This: How many triangles can be drawn having its angles as 65°, 42° and 32°? Give reason for your answer.
☛ Also Check: NCERT Solutions for Class 9 Maths Chapter 6
NCERT Exemplar Class 9 Maths Exercise 6.2 Problem 5
How many triangles can be drawn having its angles as 53°, 64° and 63°? Give reason for your answer
Summary:
Infinitely many triangles can be drawn having its angles as 53°, 64° and 63°, as the sum of the three angles equal to 180 degrees
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