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 nbsp 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°.)

Explanation:

Let x be the measure of the base angles. The third angle is 30 degrees more than x, so it is x+30.

The three angles {x, x, x+30} add to 180,so,

x+x+x+30 = 180

3x+30 = 180

3x = 180-30 ... subtract 30 from both sides

3x = 150

x = 150/3 ... divide both sides by 3

x = 50

The base angles are 50 degrees each. The third angle is x+30 = 50+30 = 80

The three angles of the isosceles triangle are: 50, 50, 80

As a check, the three angles should add to 180

50+50+80 = 100+80 = 180

The answer is confirmed.

right

step-by-step explanation:

step-by-step explanation:

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