Question

Two angles are given.

Answer 1

Answer:

Angle g and h are complementary angles.

Angle g and h are acute angles.

Step-by-step explanation:

The given angles are

$m\angle g=(2x-90)^{\circ}$

$m\angle h=(180-2x)^{\circ}$

If sum of two angles is 180, then they called supplementary angles.

If sum of two angles is 90, then they called complimentary angles.

Add both angles.

$m\angle g+m\angle h=(2x-90)^{\circ}+(180-2x)^{\circ}$

$m\angle g+m\angle h=(2x-90+180-2x)^{\circ}$

$m\angle g+m\angle h=90^{\circ}$

The sum of two angles is 90 degree, therefore angle g and h are complementary angles.

Both angles are greater than zero and their sum is 90, it means

$0$ and $0$

Therefore, angle g and h are acute angles.