Question

In a triangle, the measure of the first angle is three times the measure of the second angle. The measure of the third angle is 80° more than the measure of the

second angle. Use the fact that the sum of the measures of the three angles of a triangle is 180° to find the measure of each angle.

Answer 1

first = 60

second = 20

third = 100

Explanation:

first angle = 3x

second angle = x

third angle = x + 80

All of these angles add up to 180.

3x + x + (x + 80) = 180

5x + 80 = 180

5x = 100

x = 20

second angle = 20

first angle = 3 * 20 = 60

third angle = 20 + 80 = 100