Chapter 8.5, Problem 50E

(a)

To determine

To explain: Acute angle.

Explanation of Solution

Given information: The given angle is acute angle.

Explanation: The angle which is less than $90°$ in measure is known as acute angle.

Therefore, the angle that can be drawn in an acute angle is also acute.

(b)

To determine

To explain: Right angle.

Explanation of Solution

Given information: The given angle is right angle.

Explanation: The angle which is equal to $90°$ in measure is known as right angle.

Therefore, the only angle that can be drawn in the right angle is acute. If the rays of the ray diagram lie on the right angle forming lines, then a right angle also can be drawn.

(c)

To determine

To explain: Obtuse angle.

Explanation of Solution

Given information: The given angle is obtuse angle.

Explanation: The angle which is greater than $90°$ and less than $180°$ in measure is known as obtuse angle.

Therefore, the angle that can be drawn in the obtuse angle is acute, right, and obtuse.

(d)

To determine

To explain: Straight angle.

Explanation of Solution

Given information: The given angle is straight angle.

Explanation: The angle which is equal to $180°$ in measure is known as straight angle.

Therefore, the angle that can be drawn in the obtuse angle is acute, right, and obtuse. If the rays the ray diagram lie on the forming straight angle’s line, then straight angle is also can be drawn.