Angles of a triangle are in the ratio 2 : 4 : 3. The smallest angle of the triangle is
a) 60°
b) 40°
c) 80°
d) 20°
Solution:
Given, the angles of a triangle are in the ratio 2 : 4 : 3
We have to find the smallest angle of the triangle.
We know that the sum of all three interior angles of a triangle is always equal to 180°
Let us consider a triangle ABC
∠A + ∠B + ∠C = 180°
Given, ∠A = 2x
∠B = 4x
∠C = 3x
So, 2x + 4x + 3x = 180°
9x = 180°
x = 180°/9
x = 20°
Now, ∠A = 2(20) = 40°
∠B = 4(20) = 80°
∠C = 3(20) = 60°
Therefore, the smallest angle of the triangle is 40°
✦ Try This: Angles of a triangle are in the ratio 1 : 2 : 3. The smallest angle of the triangle is
☛ Also Check: NCERT Solutions for Class 9 Maths Chapter 6
NCERT Exemplar Class 9 Maths Exercise 6.1 Problem 8
Angles of a triangle are in the ratio 2 : 4 : 3. The smallest angle of the triangle is a) 60°, b) 40°, c) 80°, d) 20°
Summary:
Angles of a triangle are in the ratio 2 : 4 : 3. The measure of the angles are 40°, 80° and 60° The smallest angle of the triangle is 40°
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