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 degrees more than twice the measure of either of the other two angles and find the measure of each angle of the triangle (Recall that the sum of the measures of the angles of a triangle is 180 degrees)



Answer :

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.

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