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 15​° 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:

• 55
• 55
• 70

Step-by-step explanation:

Givens

• Let the measure of either of the 2 equal angles = x
• Let the top angle = x+ 15
• Every triangle has 180 degrees.

Formula

x + x + x+15 = 180

Solution

• 3x + 15 = 180            Combine the left hand side.
• 3x + 15-15 = 180-15
• 3x = 165                    Divide by 3
• 3x/3 = 165/3
• x = 55

Measure of unequal angle = 55 + 15 = 70

Answer

One equal angle = 55

2nd equal angle = 55

3rd angle = 70