Question

on the drainage map below, 2 parallel drains, drain 1 and drain 2, intersect 2 parallel canals, blue canal and green canal. the obtuse angle at which drain 2 intersects with blue canal is 125°. what is the measure of the obtuse angle at which drain 1 intersects with green canal? a 55° b 65° c 115° d 125°

Explanation:

Step1: Identify angle - relationship

When two parallel lines (Drain 1 and Drain 2) are intersected by two other parallel lines (Blue Canal and Green Canal), corresponding angles are equal.

Step2: Determine the required angle

The obtuse - angle formed by Drain 2 and Blue Canal and the obtuse - angle formed by Drain 1 and Green Canal are corresponding angles. Since the obtuse angle at which Drain 2 intersects Blue Canal is 125°, the obtuse angle at which Drain 1 intersects Green Canal is also 125°.

Answer:

D. 125°