Question

in a triangle abc angle a - angle b = 33 degrees and angle b -angle c is equal to 18 and angle a + angle c is equal to 125 degree degree find the measure of each angle of the triangle​

Answer 1

Answer:

Angle A = 88 degree, Angle B = 55 degree, Angle C = 37 degree

Step-by-step explanation:

We Know,

In a triangle, Sum of all three angles = 180 degree

So, Angle A + Angle B + Angle C = 180 degree

ATQ,       Angle  A + Angle C = 125 degree

So,           125 + Angle B = 180 degree

or,                   Angle B = 180 - 125 = 55 degree

Now,        Angle A - Angle B = 33  degree

So,            Angle A = 33 + Angle B

or,            Angle A = 33 + 55     = 88 degree

Now from given condition,

              Angle A  + Angle C = 125 degree

              Angle C = 125 - Angle A

or,          Angle C = 125 - 88    =  37  degree