To solve the problem of counting the number of acute, right, and obtuse angles in each figure, we need to analyze each shape individually. Let's go through each figure step by step.
Figure (a):
-
Shape: A quadrilateral with one right angle.
-
Analysis:
- There is
1 right angle.
- The other three angles appear to be acute.
-
Count:
- Acute angles:
3
- Right angles:
1
- Obtuse angles:
0
Figure (b):
-
Shape: A quadrilateral with one right angle.
-
Analysis:
- There is
1 right angle.
- The other three angles appear to be acute.
-
Count:
- Acute angles:
3
- Right angles:
1
- Obtuse angles:
0
Figure (c):
-
Shape: A hexagon.
-
Analysis:
- All angles in a regular hexagon are equal.
- Each internal angle of a regular hexagon is \(120^\circ\), which is obtuse.
-
Count:
- Acute angles:
0
- Right angles:
0
- Obtuse angles:
6
Figure (d):
-
Shape: A triangle.
-
Analysis:
- One angle is a right angle (\(90^\circ\)).
- The other two angles are acute because the sum of angles in a triangle is \(180^\circ\).
-
Count:
- Acute angles:
2
- Right angles:
1
- Obtuse angles:
0
Figure (e):
-
Shape: A quadrilateral.
-
Analysis:
- One angle appears to be obtuse.
- The other three angles appear to be acute.
-
Count:
- Acute angles:
3
- Right angles:
0
- Obtuse angles:
1
Figure (f):
-
Shape: A quadrilateral.
-
Analysis:
- One angle appears to be obtuse.
- The other three angles appear to be acute.
-
Count:
- Acute angles:
3
- Right angles:
0
- Obtuse angles:
1
Final Answer:
\[
\boxed{
\begin{array}{c|c|c|c}
\text{Figure} & \text{Acute Angles} & \text{Right Angles} & \text{Obtuse Angles} \\
\hline
(a) & 3 & 1 & 0 \\
(b) & 3 & 1 & 0 \\
(c) & 0 & 0 & 6 \\
(d) & 2 & 1 & 0 \\
(e) & 3 & 0 & 1 \\
(f) & 3 & 0 & 1 \\
\end{array}
}
\]
Parent Tip: Review the logic above to help your child master the concept of acute obtuse and right angles worksheet.
