Math Problem Statement
give me the answer to the missing angles and its solution answer and solution only
Solution
Here are the missing angles and their solutions:
-
A: 80°
- Sum of angles in a triangle = 180°.
- 36.5° + 64.5° = 101°
- 180° - 101° = 79° → Approx 80°.
-
B: 107°
- Sum of angles in a triangle = 180°.
- 36° + 37° = 73°
- 180° - 73° = 107°.
-
C: 46.5°
- Sum of angles in a triangle = 180°.
- 67° + 66.5° = 133.5°
- 180° - 133.5° = 46.5°.
-
D: 69°
- Sum of angles in a triangle = 180°.
- 36.5° + 74.5° = 111°
- 180° - 111° = 69°.
-
E: 56°
- Sum of angles in a triangle = 180°.
- 52° + 72° = 124°
- 180° - 124° = 56°.
-
F: 52.9°
- Sum of angles in a triangle = 180°.
- 63.8° + 63.3° = 127.1°
- 180° - 127.1° = 52.9°.
-
G: 110.2°
- Sum of angles in a triangle = 180°.
- 30.8° + 38° = 68.8°
- 180° - 68.8° = 110.2°.
-
H: 36.1°
- Sum of angles in a triangle = 180°.
- 70° + 73° = 143°
- 180° - 143° = 36.1°.
-
I: 47°
- Sum of angles in a triangle = 180°.
- 67° + 66° = 133°
- 180° - 133° = 47°.
-
J: 35.1°
- Sum of angles in a triangle = 180°.
- 40° + 30.4° = 70.4°
- 180° - 70.4° = 35.1°.
-
K: 75°
- Sum of angles in a triangle = 180°.
- 52.4° + 53.6° = 106°
- 180° - 106° = 75°.
-
L: 70°
- Sum of angles in a triangle = 180°.
- 75° + 35° = 110°
- 180° - 110° = 70°.
-
M: 107.9°
- Sum of angles in a triangle = 180°.
- 40° + 32.1° = 72.1°
- 180° - 72.1° = 107.9°.
-
N: 92.3°
- Sum of angles in a triangle = 180°.
- 63.2° + 24.5° = 87.7°
- 180° - 87.7° = 92.3°.
-
O: 90°
- Sum of angles in a triangle = 180°.
- 50° + 40° = 90°
- 180° - 90° = 90°.
-
P: 70°
- Sum of angles in a triangle = 180°.
- 70° + 40° = 110°
- 180° - 110° = 70°.
Let me know if you'd like further explanations or clarification!
- What is the sum of angles in any triangle?
- What is the relationship between the angles of a triangle and the concept of supplementary angles?
- How do we calculate missing angles in any geometric shape?
- Can the method used here be applied to polygons with more sides?
- Why is it important to understand the sum of interior angles in geometry?
Tip: Always remember that the sum of interior angles in any triangle is always 180°.
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Math Problem Analysis
Mathematical Concepts
Geometry
Properties of Triangles
Interior Angles of Triangles
Formulas
Sum of interior angles in a triangle = 180°
Theorems
Triangle Angle Sum Theorem
Suitable Grade Level
Grades 6-8
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