In triangle ABC the angel A and B have the same measure whil

In triangle ABC, the angel A and B have the same measure, while the measure of angle C is 96 degree larger than the measure of each of A and B. What are the measures of the three angles The measure of angle A and measure of angle B are each degree. (Type a whole number.) The measure of angel C is degree. (Type a whole number.)

Solution

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Given Angle A = Angle B

Also Angle C = 96 + Angle A

Let Angle A = Angle B = x

=> Angle C = x + 96

Now sum of all the angles of a triangle is 180 Degree

=> x + x + x + 96 = 180

3x = 84

x = 28 Degree

Hence Angle A = 28 Degree

Angle B = 28 Degree

Angle C = 124 Degree

Solution