The flag of a country contains an isoceles triangle. (Recall that an isoceles triangle contains two angles with the same measure) if the measure of the third angle is 15 degrees more than three times the measure of either of the other two angles, find the measure of each angle of the triangle. (Recall that the sum if the measure of the angles of a triangle is 180 degrees)

Respuesta :

Answer:

angles: 33, 33, 114

Step-by-step explanation:

An isosceles triangle has 2 angles with the same measure x

the third angle = 15+3x

the 3 angles of a triangle = 180

x+ x + 3x+15 = 180

combine like terms

5x + 15 = 180

subtract 15 from each side

5x+15-15 = 180 - 15

5x = 165

divide by 5

5x/5 = 165/5

x = 33

two angles measure 33

the third angle = 3x+15

                        = 3*33 + 15 = 99+15 = 114