Question

1. classify the angles that result from bisecting each type of angle. a. acute angle b. right angle c. obtuse angle d. straight angle

Explanation:

• a. Acute angle: Bisecting an acute angle (less than 90°) results in two acute angles since half of an angle less than 90° is still less than 90°.
• b. Right angle: A right - angle is 90°. Bisecting it gives two 45° angles, which are acute.
• c. Obtuse angle: An obtuse angle is between 90° and 180°. Bisecting it can result in two acute angles (if the original obtuse angle is less than 180° but close to 180°, the bisected angles will be large acute angles), or one acute and one right - angle (if the obtuse angle is 180°/2 = 90° + another acute part), or two right - angles (if the obtuse angle is 180° which is a special case of obtuse in a non - strict sense). In general, for a non - 180° obtuse angle, the result is two acute angles.
• d. Straight angle: A straight angle is 180°. Bisecting it gives two right angles (90° each).

Answer:

a. Acute angle
b. Acute angle
c. Acute angle
d. Right angle