Find the measure of each angle of a triangle

Question

In triangle TUV the measure of angle U is twice the measure of angle T. The measure of angle V is 80 degrees more than that of angle T. Find the measure of each angle.

Answer 1

Set m<T=x, then m<U=2x, m<V = x + 80

According the Triangle sum theorem:

m<T + m<U + m<V =180

x + 2x + x + 80 = 180

solve: x=25

Therefore m<T = 25, m<U = 50, and m<V = 105

Answer 2

In all triangles the three angles added up always equal 180.

There are two more statements in the problem that provide you with two more separate equations.

I am sure you are familiar with solving systems of equations. for example if you have x+y=2 and x=1 then you can substitute in 1 for x in the first equation and solve for y which equals 1 as well.