Send the sum of the measures of the angles from any triangle is 180 degrees. in triangle abc, angles a and b have the same measure, while the measure of angle c is 45 degrees larger than each of a and b. what are the measures of the three angles?

Let Angle A = X

Since Angle B is the same, angle B is also X

Then angle C = X +45

Add the 3 angles together: X +X +X +45 = 3x+45

That equals 180 degrees:

3x+45 = 180

Subtract 45 from both sides:

3x = 135

Divide both sides by 3:

X = 135/3

X = 45

Angle A = 45

Angle B = 45

Angle C = 45+45 = 90

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