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 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°.)

Answer 1

Answer: the three angles are 50, 50, and 80 degrees

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.

Answer 2

Answer:

75 degrees

hope this helps :3