Answer:the measure of angle 7 is 130 degrees.
Step-by-step explanation:
The two blue lines are parallel. Therefore, angle 3 and angle 7 are corresponding angles. Corresponding angles are equal. Therefore, If the measure of angle 3 is 130 degrees, then the measure of angle 7 is also 130 degrees.
We can check by the following means:
The sum of the angles on a straight line is 180 degrees. Therefore,
Angle 4 = 180 - angle 3 = 180 - 130 = 50 degrees. Angle 4 and angle 6 are equal because they are alternate angles. Angle 6 and angle 7 are on a straight line. Therefore, angle 7 = 180 - angle 6 = 180 - 50 = 130 degrees
