Question

In a set of three lines, a pair of parallel lines is intersected by a transversal. The intersection forms eight special angles. Two of the special angles,A andB, are corresponding angles.

For the set of parallel lines intersected by a transversal,A= 4x andB= -5(x - 18).

Part A: Write an equation to represent the corresponding relationship betweenA andB.
Part B: Use the equation to find the measures ofA andB.


WRITER

Answer 1

Part A:
Corresponding angles are equal, so
4x = −5(x − 18).

Part B:
Solve 4x = −5(x − 18)
4x = −5x + 90
9x = 90
x = 10.

Then A = 4x = 4(10) = 40° and B = −5(10 − 18) = −5(−8) = 40°.