Angle Rules Summary

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This document provides reminders of several geometric rules for determining unknown angle measures, including that angles in a straight line equal 180 degrees, angles in a triangle equal 180 degrees, interior angles of a quadrilateral equal 360 degrees, vertically opposite angles are equal, corresponding angles are equal, and alternate angles are equal. Examples are given applying each rule to solve for unknown angle measures.

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Triangles, Straight and Parallel Lines ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]

Triangles, Straight and Parallel Lines What size is angle A ? Angles in a Straight Line Equal 180 ° A 45 °

45 ° What size is angle B ? B Angles in a Triangle Equal 180 ° Triangles, Straight and Parallel Lines

90 ° What size is angle B ? B Triangles, Straight and Parallel Lines 90 ° 90 ° Angles in a Q uadrilateral Equal 360 °

What size is angle C ? 40 ° Vertically Opposite Angles are Equal Triangles, Straight and Parallel Lines C

D What size is angle D ? 140 ° Interior Angles Sum to 180 ° Triangles, Straight and Parallel Lines

40 ° What size is angle E ? E Corresponding Angles are Equal Triangles, Straight and Parallel Lines

140° F What Size is angle F ? Alternate Angles are Equal Triangles, Straight and Parallel Lines

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Angle Rules Summary

1.

2. Triangles, Straight and Parallel Lines What size is angle A ? Angles in a Straight Line Equal 180 ° A 45 °

3. 45 ° What size is angle B ? B Angles in a Triangle Equal 180 ° Triangles, Straight and Parallel Lines

4. 90 ° What size is angle B ? B Triangles, Straight and Parallel Lines 90 ° 90 ° Angles in a Q uadrilateral Equal 360 °

5. What size is angle C ? 40 ° Vertically Opposite Angles are Equal Triangles, Straight and Parallel Lines C

6. D What size is angle D ? 140 ° Interior Angles Sum to 180 ° Triangles, Straight and Parallel Lines

7. 40 ° What size is angle E ? E Corresponding Angles are Equal Triangles, Straight and Parallel Lines

8. 140° F What Size is angle F ? Alternate Angles are Equal Triangles, Straight and Parallel Lines