Question

5th Avenue and A Street intersect at a right angle. Main Street intersects the intersection of 5th Avenue and A Street. Determine the measure of the angle between Main Street and A Street.

a) (5x + 5) degrees
b) (5x - 5) degrees
c) (x + 5) degrees
d) (x - 5) degrees

Answer 1

The measure of the angle between Main Street and A Street is 90 degrees, which corresponds to (5x + 5) degrees. Option (a) is true.

Explanation:

To determine the measure of the angle between Main Street and A Street, we can use the property that when two lines intersect, the vertically opposite angles are equal.

Given that 5th Avenue and A Street intersect at a right angle, the angle between 5th Avenue and A Street is 90 degrees.

Since Main Street intersects the intersection of 5th Avenue and A Street, the angle between Main Street and A Street is also 90 degrees due to the right angle formed by 5th Avenue and A Street.

Therefore, option (a) is true.