If the angles of a triangle are in the ratio 2 : 3:4, then find the difference between the greatest and the smallest angles.
Answers
Answer:
The Difference between the largest angle and smallest angle is 40°.
Step-by-step explanation:
Given :
Ratio of the angles = 2:3:4
To find :
The difference between the smallest and largest angle.
Solution :
Let the angles be -
- 2x
- 3x
- 4x
According to the angle sum property of triangle, sum of all angles in a triangle is 180°.
= 2x + 3x + 4x =180
= 9x = 180
= x = 180/9
= x =20
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✯
★ Value of 2x
= 2(20)
=40
One angles = 40°
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★ Value of 3x
= 3(20)
=60
Second angle = 60°
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★ Value of 4x
=4(20)
=80
Third angle = 80°
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✯
Smallest angle = 40°
Largest angle = 80°
Their difference = 80 - 40
= 40
Difference = 40°
∴ The Difference between the largest angle and smallest angle is 40°.
Answer:
The Difference between the largest angle and smallest angle is 40°.
Step-by-step explanation:
According to the angle sum property of triangle, sum of all angles in a triangle is 180°.
2x+3x+4x = 180
9x = 180
x= 180/90
x = 20
Value of the angle of 2x
2(20) = 40
Value of the angle of 4x
4(20) = 80
80-40 = 40
hope this helps :))