Question

5. City B has constructed their own subway system. The Green Line and the Orange Line run parallel to each other and the purple line runs perpendicularly to the Green Line and the Orange Line. The Silver Line intersects with the purple line and the green line at the same station. Angles 1 and 6 have the same measure. What is the measure of angle 9?

Answer 1

135°

Explanation:

Angles 1 and 6 have the same measure and sum to a 90 degree angle

so they are each 45°

Angles 1 and 4 are equal as well 45°

then angle 5 = 90 + 45 = 135 °

Angles 5 2 9 and 7 are all equal angle 9 = 135 °