Question

In the parking lot shown, the lines that mark the width space are parallel. If ∠1 =(x + 39)°, ∠2 = (2x – 3y)° find x and y

Answer 1

From the picture

∠2 + 65° = 180°  ...[Sum of interior angles on the same side of a transversal]

x + 39° + 65° = 180°

x + 104° = 180°

x + 104° – 104° = 180° – 104°

x = 76°

Also from the picture

∠1 = 65°  ...[alternate exterior angles]

2x – 3y = 65°

2(76) – 3y = 65°

152° – 3y = 65°

152° – 3y – 152° = 65 – 152°

– 3y = – 87

y = `(-87)/(-3)`

y = 29°

x = 76°, y = 29°