Question

A pathway divides a rectangular garden into two parts as shown. Find the measure of angle A

Answer 1

m < A = 101 degrees.

Explanation:

The transverse line crosses 2 parallel lines (opposite angles of a rectangle are parallel) , so the same side angles add up to 180 degrees.

m < A + 79 = 180

m < A = 101 degrees.

Answer 2

A=101°

Explanation:

The two lengths of the rectangle are parallel and therefore the sides of the path form two parallel transversals.

The angle marked 79° and the angle marked A are supplementary ( they add up to 180°)

A+79=180°

A=180-79

=101°