The sum of the measures of the angles of any triangle is 180 degrees. In triangle​ ABC, angles A and B have the same​ measure, while the measure of angle C is 7

Question

The sum of the measures of the angles of any triangle is 180 degrees. In triangle ABC, angles A and B have the same measure, while the measure of angle C is 78 degrees larger than each of A and B. What are the measures of the three angles?

Answer 1

Student,

 

This question was posted and already answered last night.  Here is the solution, again.

 

Measure of A = x
Measure of B = x
Measure of C = x + 78

x + x + (x + 78) = 180

3x + 78 = 180

Now solve for x and finish from here.

Answer 2

Let x = degree measure of each of angles A and B

 

Then, x+78 = measure of angle C

 

So, x + x + (x+78) = 180

 

                  3x = 102

 

                    x = 34°

 

∠A = 34°    ∠B = 34°     ∠C = 112°

 

Answer 3

Measure of A = x

Measure of B = x

Measure of C = x + 78

 

x + x + (x + 78) = 180

 

3x + 78 = 180

 

Can you solve for x and finish from here?