Question

In ∆ , angle − angle = 33 degree
and angle − angle= 18degree

Find the angle of the triangle. ​

Answer 1

Question

In ∆ , angle − angle = 33 degree

and angle − angle= 18degree

Find the angle of the triangle.

$\boxed{Explained\:Answer}$

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angle A - angleB = 33and angle B - angle C = 18

angle a = 33+ angle b and anglec =angle b - 18

angle a + angle b + angle c = 180 by ASP

Putting value in the equation, we get

33+ angle b + angle b + angle b - 18 = 180

33+ 3 angle b - 18 = 180

33 - 18 + 3 angle b = 180

15 + 3 angle b = 180

3 angle b = 180 -15

3 angle b = 165

angle b = 165 / 3

angle b = 55 degree

angle a = 33 + 55 = 88 degree

angle c = 55 - 18 = 37 degree.

each angle here found