Question

the angles of a triangle are 4x degree 2 X + 30 degree and 5 x minus 15 degree find the angles and then show that the Triangles are equilateral triangle

Answer 1

BY angle sum property sum of all the angles of triangle are 180.

So.
4x + (2x+30) + (5x-15) = 180

11x +15 = 180

11x = 180- 15 = 165

X = 165 / 11 = 15

NOW <A = 4X = 4*15 = 60

<B = 2X+30 = 2*15 + 30 = 60

<C = 5X-15 = 5*15 - 15 = 60

HENCE all the angles are equal so triangle is equilateral.


THANKS

Answer 2

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