Two nonoverlapping Acute angles that share a ray form an obtuse angle. If one of the acute angles has a measure of 50°, what could be the measure of the other acute angle?

Answer 1

The sum of the two acute angles must equal the measure of the obtuse angle, which is greater than 90°.

Let x be the measure of the other acute angle.

Since one of the acute angles measures 50°, we have:

50° + x > 90°

x > 40°

Therefore, the measure of the other acute angle could be any value greater than 40°.