If an angle of a triangle are in the ratio 2:3:4. Find the value of each angle.
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let the 3 angles be 2x, 3x, 4x respectively
we know that sum of all angles of a triangle is 180° .... therefore
2x + 3x + 4x = 180
9x = 180
x= 20
Substituting value of x in the sides...we get the angle 2×20, 3×20, 4×20
therefore the three angles are
40, 60 and 80 respectively
Hope it helps
we know that sum of all angles of a triangle is 180° .... therefore
2x + 3x + 4x = 180
9x = 180
x= 20
Substituting value of x in the sides...we get the angle 2×20, 3×20, 4×20
therefore the three angles are
40, 60 and 80 respectively
Hope it helps
priyanshu12379:
thank
Answered by
7
If angle of a triangle are in the ratio 2:3:4
Let angle of triangle be 2x, 3x, 4x respectively
Then,
2x+3x+4x=180° ( sum of all angles of a triangle=180°)
9x=180°
x=180°/9
x=20°
So angle are,
2x=2×20°= 40°
3x=3×20°= 60°
4x=4×20°= 80°
Then angles are 40°,60°,80° respectively.
Hope it helps you ☺️☺️☺️☺️☺️☺️☺️☺️☺️☺️☺️☺️☺️☺️☺️☺️☺️☺️☺️
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