together,the measures of angle 1 and 2 and 3 equal 180. The angles have the following measures angle 1= 25, angle 2 = (3x) , and angle 3 + (3x+5). what are the measures of angle 2 and 3?
Given that the sum of the measures of angles 1, 2, and 3 is equal to 180:
25 + 3x + 3x + 5 = 180
25 + 6x + 5 = 180
30 + 6x = 180
6x = 150
x = 25
Therefore, the measure of angle 2 (3x) is:
3(25) = 75 degrees
And the measure of angle 3 (3x + 5) is:
3(25) + 5 = 75 + 5 = 80 degrees
So, angle 2 measures 75 degrees and angle 3 measures 80 degrees.