Problem Description:
The task is to identify the types of angles in the given images and classify them as
acute,
obtuse,
straight, or
right. The worksheet provides 12 angles labeled from (a) to (l), and we need to determine the type of each angle.
Solution:
#### Definitions of Angle Types:
1.
Acute Angle: An angle that measures less than 90 degrees.
2.
Right Angle: An angle that measures exactly 90 degrees.
3.
Obtuse Angle: An angle that measures more than 90 degrees but less than 180 degrees.
4.
Straight Angle: An angle that measures exactly 180 degrees.
#### Analysis of Each Angle:
1.
(a):
- The angle is less than 90 degrees.
-
Type: Acute
2.
(b):
- The angle is greater than 90 degrees but less than 180 degrees.
-
Type: Obtuse
3.
(c):
- The angle is greater than 90 degrees but less than 180 degrees.
-
Type: Obtuse
4.
(d):
- The angle is greater than 180 degrees (reflex angle, but not asked for here). For classification purposes, it's not one of the standard types listed.
-
Type: Not applicable (but if forced, reflex).
5.
(e):
- The angle is exactly 90 degrees.
-
Type: Right
6.
(f):
- The angle is less than 90 degrees.
-
Type: Acute
7.
(g):
- The angle is less than 90 degrees.
-
Type: Acute
8.
(h):
- The angle is exactly 90 degrees.
-
Type: Right
9.
(i):
- The angle is greater than 90 degrees but less than 180 degrees.
-
Type: Obtuse
10.
(j):
- The angle is exactly 180 degrees.
-
Type: Straight
11.
(k):
- The angle is greater than 90 degrees but less than 180 degrees.
-
Type: Obtuse
12.
(l):
- The angle is exactly 90 degrees.
-
Type: Right
Final Answer:
\[
\begin{array}{ll}
(a) & \text{Acute} \\
(b) & \text{Obtuse} \\
(c) & \text{Obtuse} \\
(d) & \text{Not applicable (reflex)} \\
(e) & \text{Right} \\
(f) & \text{Acute} \\
(g) & \text{Acute} \\
(h) & \text{Right} \\
(i) & \text{Obtuse} \\
(j) & \text{Straight} \\
(k) & \text{Obtuse} \\
(l) & \text{Right} \\
\end{array}
\]
\boxed{
\begin{array}{ll}
(a) & \text{Acute} \\
(b) & \text{Obtuse} \\
(c) & \text{Obtuse} \\
(d) & \text{Not applicable (reflex)} \\
(e) & \text{Right} \\
(f) & \text{Acute} \\
(g) & \text{Acute} \\
(h) & \text{Right} \\
(i) & \text{Obtuse} \\
(j) & \text{Straight} \\
(k) & \text{Obtuse} \\
(l) & \text{Right} \\
\end{array}
}
Parent Tip: Review the logic above to help your child master the concept of types of angles worksheet.