Download Activity_3_1_5 - Connecticut Core Standards

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Activity 3.1.5 Applications of the Triangle, Quadrilateral and
Polygon Angle Sum Theorems
Part I -- Triangles
Determine the missing degree measure for each diagram. m ∠𝐵
1. m ∠𝐵 = _______
2. m ∠𝐵 = _______
3. m ∠𝐶 = _______
4. m ∠𝐴 = _______
5. m ∠𝐽 = _______
6. m ∠𝐼 = _______
Activity 3.1.5
Connecticut Core Geometry Curriculum Version 3.0
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Use the diagram at the right for questions 7 and 8.
7. m ∠𝐺𝐸𝐻 = _______
8. m ∠𝐷𝐺𝐹 = _______
9. Use the diagram below to determine the measures of the angles.
1
59
7 8
55 6 59
5
2
3
9
4
m ∠1 = _______
m ∠2 = _______
m ∠3 = _______
m ∠4 = _______
m ∠5 = _______
m ∠6 = _______
m ∠7 = _______
m ∠8 = _______
m ∠9 = _______
Activity 3.1.5
Connecticut Core Geometry Curriculum Version 3.0
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Page 3 of 4
Part II -- Quadrilaterals and Other Polygons
10. Determine the measure of ∠𝐴.
m ∠𝐴 = _______
11. Determine the value of x. Then determine the measures of all of the angles in the figure.
x = _______
m ∠𝐸 = _______
m ∠𝐹 = _______
m ∠𝐺 = _______
m ∠𝐻 = _______
Activity 3.1.5
Connecticut Core Geometry Curriculum Version 3.0
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Date:
Page 4 of 4
12. Determine the measure of ∠𝐸.
m ∠𝐸 = _______
13. Determine the value of x. Then determine the measures of all of the angles in the figure.
x = _______
m ∠𝐹 = _______
m ∠𝐺 = _______
m ∠𝐻 = _______
m ∠𝐼 = _______
m ∠𝐽 = _______
Activity 3.1.5
Connecticut Core Geometry Curriculum Version 3.0