The flag of a country contains an isosceles triangle. (Recall that an isosceles triangle contains two angles with the same measure.) If the measure of the third angle of the triangle is 20° more thantwice the measure of either of the other two angles, find the measure of each angle of the triangle. (Recall that the sum of the measures of the angles of a triangle is 180°.)

Question

The flag of a country contains an isosceles triangle.​ (Recall that an isosceles triangle contains two angles with the same​ measure.) If the measure of the third angle of the triangle is 20​° more thantwice  the measure of either of the other two​ angles, find the measure of each angle of the triangle.​ (Recall that the sum of the measures of the angles of a triangle is​ 180°.)
decorative image

R_scott · Answer

2 x + 2 x + 20 = 180 ... x = 40 40º , 40º , 100º

oobleck · Answer

Extra credit: Which national flag is a triangle, rather than a rectangle?