Answer to Question #136528 in Geometry for destiny

Question

If an obtuse angle is bisected, the resulting angles are _________

Answer 1

An obtuse angle is an angle of greater than 90° and less than 180°.

So angle size can be from 91 to 179.

Let’s say the angle is A, so

91 < A < 179

When it is bisected, it will turn into 2 equal angle of size A/2

So divide the inequality by 2

91/2 < A < 179/2

45.5 < A/2 < 89.5

An acute angle ("acute" meaning "sharp") is an angle smaller than a right angle (it is less than 90 degrees). So each of the new angles has to be acute angle.