Question

the flag of a country contains an isosceles triangle. if the measure of the third angle of the triangle is 30 degrees more than three times the measure of either of the other two angles, find the measure of each angle of the triangle

Answer 1

If you set the two angles of the same measure as x degree, the third angle has a degree of 30+3x. Together they make x+x+(30+3x)=30+5x=180. You solve the equation and you get x=30. Therefore, the measures of the three angles are 30, 30, and 120.