if angles of a triangle are in the ratio
2:3:4, then find the value of all the angle
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if angles of a triangle are in the ratio
2:3:4, then find the value of all the angle
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Answer:
Let take angles of triangle as 2x,3x and 4x.
<1+<2+<3 =180° (Angle sum property of triangle)
2x+3x+4x =180°
9x=180°
x=180°/9
x=20°
<1=2x
=2×20°
=40°
<2=3x
=3×20°
=60°
<3=4x
=4×20°
=80°
Hence,the value of angles are 40°,60° and 180°.
2x+3x+4x=180°
9x=180°
x=180/9
x=20
So,
2×x=2×20=40
3×x=3×20=60
4×x=4×20=80