the angels of a triangle are 4x degree,(2x+30degree ) and(5x-15) find the angels and then show that the triangles an equilateral triangle.
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Step-by-step explanation:
The angles are 4x, 2x+30, 5x-15.
4x+2x+30+5x-15=180°. (ANGLE SUM PROPERTY)
==> 11x+15=180
==>11x=165
==>x=15°
Now the angles are 60°, 60°,60°.
As all the angles are equal, then it is an equilateral triangle.
Hence, proved.
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