Question

angles 1 and 2 are alternate interior angles in a diagram where two parallel lines are cut by a transversal. If angle 1 is represented by the equation 4x + 40 and angle 2 is represented by the equation 6x + 20, find x and give the measures of angles 1 and 2

Answer 1

Hi,
4x + 40+6x + 20 = 180     ....alternate interior angles
4x+6x+40+20 = 180
10x+60 = 180
10x = 180-60
10x = 120
x = 120/10
x = 12
Angle 1 = 4(12)+40
Angle 1 = 48+40
Angle 1 = 88 degrees
Angle 2 = 6(12)+20
Angle 2 = 72+20
Angle 2 = 92 degrees
Hope this helps you.