Question

in a triangle ABC angle A - Angle B=33 degrees and Angle B - angle C= 18 degrees find the measure of each angle of the triangle. ( class 9)

Answer 1

Answer:

∠ A = 88

∠ B = 55

∠ C = 37 .

Step-by-step explanation:

Given :

In a triangle ABC :

∠ A -  ∠ B = 33

∠ B  -  ∠ C = 18

We have find values of all angle :

We know sum of all interior angle of triangle is 180 .

∠ A + ∠ B + ∠ C = 180 .. ( ii )

We have :

∠ A -  ∠ B = 33

∠ B  -  ∠ C = 18

Rewrite as :

∠ A  = 33 + ∠ B

∠ C = ∠ B - 18

Now putting

33 + ∠ B + ∠ B + ∠ B - 18 = 180

3 ∠ B + 15 = 180

3 ∠ B = 165

∠ B = 55

Putting values of B in :

∠ A -  ∠ B = 33

∠ B  -  ∠ C = 18

∠ A = 88

∠ C = 37 .

Hence we get all answers .

Answer 2

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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.