Jeff is building a bookcase for his room and wants to be sure the shelves are parallel. He measures the angles below and knows t

Question

3 years ago

10

he shelves are parallel when he finds which two angles to be supplementary?

1 answer:

katrin [286] · Answer 1 · 2022-03-30T02:39:59+03:00

Answer:

∠2 and ∠4 are the supplementary angle.

Step-by-step explanation:

Shelves of the bookcase are parallel and a transversal line is intersecting these points at two distinct points.

By the property,

Sum of two interior consecutive angles measure 180°.

From the figure attached,

∠2 and ∠4 are the interior consecutive angles.

Therefore, m∠2 + m∠4 = 180°

Which proves that shelves of the showcase are parallel.