Question

in a triangle, the measure of the first angle is twice the measure of the second ane. the measure of the third angle is 72° more than the measure of the second angle. use the factor that the sum of the three angles of a triangle is 180 to find the measure of each angle

Answer 1

Let s represent the measure of the second angle. Then the sum of the three angles of the triangle is ...

... first + second + third = 180°

... 2s + s + (s+72°) = 180° . . . . substitute the given information

... 4s = 108° . . . . . . . . . . . collect terms, subtract 72°

... s = 27° . . . . . . . . . . . . . divide by 4

The first angle measures 54°.

The second angle measures 27°

The third angle measures 99°.