The angles of a triangle are in the ratio 1:2:3. Find the angles
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Answered by
39
Let angles are x , 2x and 3x
We know that the sum of all angles of any triangle is 180°
So, sum of x , 2x and 3x must be 180°
=> x + 2x + 3x = 180°
=> 3x + 3x = 180°
=> 6x = 180°
=> x = ( 180 / 6 )°
=> x = 30°
Hence,
Angles = x = 30°
=> 2x = 2( 30 ) = 60°
=> 3x = 3( 30 ) = 90°
We know that the sum of all angles of any triangle is 180°
So, sum of x , 2x and 3x must be 180°
=> x + 2x + 3x = 180°
=> 3x + 3x = 180°
=> 6x = 180°
=> x = ( 180 / 6 )°
=> x = 30°
Hence,
Angles = x = 30°
=> 2x = 2( 30 ) = 60°
=> 3x = 3( 30 ) = 90°
shivaanika1506:
thank you bhaiya
Answered by
26
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➡Ratio between the angles of a triangle are-
➡1:2:3
➡let the angles of the triangle are x,2x and 3x
➡sum of angles of triangle =
➡x + 2x + 3x = 180° (angle sum property of triangle)
= 6x = 180°
= x = 180°/6
= x = 30°
➡angles are -
➡x = 1×30° = 30°
➡2x = 2×30° = 60°
➡3x = 3×30° = 90°
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hope this helps you
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