the angles of a triangle are 4x° (2x+30)° and (5x-15)° find the angles and then show that the triangle is equilateral triangle
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5
We know that the sum of all angles in a triangle is 180°.
Therefore,
4x+2x+30+5x-15= 180
11x+15= 180
x= 165/11= 15
4x= 4×15= 60°
2x+30= 2(15)+30= 60°
5x-15= 5(15)-15= 60°
As all angles are 60°, hence it is equilateral
Therefore,
4x+2x+30+5x-15= 180
11x+15= 180
x= 165/11= 15
4x= 4×15= 60°
2x+30= 2(15)+30= 60°
5x-15= 5(15)-15= 60°
As all angles are 60°, hence it is equilateral
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Answered by
1
4x+2x+30+5x-15=180
11x=165
x=15
4x=60
2x+30=60
5x-15=60
therefore all angles equal therefore equlateral
11x=165
x=15
4x=60
2x+30=60
5x-15=60
therefore all angles equal therefore equlateral
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