The measure of three angles of a triangle are in the ratio 5 : 3 : 1. Find the measures of these angles.
Solution:
Given, the measure of three angles of a triangle are in the ratio 5 : 3 : 1
We have to find the measures of the angles.
Let the angles be 5x, 3x and x.
Angle sum property of a triangle states that the sum of all three interior angles of a triangle is always equal to 180 degrees.
5x + 3x + x = 180°
5x + 4x = 180°
9x = 180°
x = 180°/9
x = 20°
So, 5x = 5(20°) = 100°
3x = 3(20°) = 60°
Therefore, the angles are 100°, 60° and 20°.
✦ Try This: The measure of three angles of a triangle are in the ratio 2 : 3 : 4. Find the measures of these angles.
☛ Also Check: NCERT Solutions for Class 7 Maths Chapter 6
NCERT Exemplar Class 7 Maths Chapter 6 Problem 107
The measure of three angles of a triangle are in the ratio 5 : 3 : 1. Find the measures of these angles.
Summary:
The measure of three angles of a triangle are in the ratio 5 : 3 : 1. The measures of these angles are 100°, 60° and 20°.
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