Question

Two paths in a park intersect so that one of the angles at the intersection is 75°.What are the three other angle measurements formed by the intersection?

Answer 1

105°, 75°, and 105°.

Explanation:

If two straight paths intersect at a point , four angles will be formed.

These are pairs of vertical angles.

The adjacent angles add up to 180°

If one of the angles is 75°, the supplement will be

`180 - 75 = 105 \degree`

Therefore the three other angles will be , 105°, 75°, and 105°.