Question

given: ∠fhg and ∠kjg are right angles;
\t\t\toverline{fh} ≅ overline{kj}
prove: △fgh ≅ △kgj
✓ 1. we know that ∠fhg ≅ ∠kjg
because
all right angles are congruent

1. we know that ∠fgh ≅ ∠kgj

because they are
angles.
adjacent
supplementary
vertical
check
diagram with points f, h, g, j, k; right angles at h and j; segments fh and kj marked congruent

Explanation:

To determine the type of angles ∠FGH and ∠KGJ are, we analyze their position. Vertical angles are formed by two intersecting lines and are opposite each other, and they are congruent. ∠FGH and ∠KGJ are formed by the intersection of lines FK and HJ at point G, so they are vertical angles. Adjacent angles share a common side and vertex but are not opposite, and supplementary angles add up to 180°, which is not the case here. So the correct term is vertical.

Answer:

vertical