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 30​° more than 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°.)

Answer 1

Answer:

40,40 and 100

Step-by-step explanation:

You know the first two angles are identical, so let's call them x.

The third angle is 20 more than twice the measure of either angle, which means 2x+20.

The angles of a triangle add up to 180 degrees.

(x)+(x)+(2x+20)=180

4x+20=180

4x=160

x=40 degrees

This means the angle measures equal 40 degrees, 40 degrees, and 100 degrees.