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Use what you know about the relationships between angles to solve the problems. For help, see this lesson on Angle Relationships. |

1. Complementary angles add to a total of 90° . 2. Supplementary angles add to a total of 180° . 3. Opposite angles are equal in value. 4. If two angles are supplementary and one equals 65°, then the other equals 115° . 5. Corresponding angles are equal when two parallel lines are intersected by a transversal. 6. The sum of the interior angles in a triangle is 180° . 7. The sum of the interior angles in a quadrilateral is 360° . 8. Each angle in an equilateral triangle has a value of 60° . 9. An isosceles triangle has 2 angles that are equal in value. 10. If a triangle has an angle of 40° and angle of 95°, the third angle has a value of 45° . |

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## Related Resources

The various resources listed below are aligned to the same standard, (7G05) taken from the CCSM (Common Core Standards For Mathematics) as the Geometry Worksheet shown above.

*Use facts about supplementary, complementary, vertical, and adjacent angles in a multi-step problem to write and solve simple equations for an unknown angle in a figure. *

### Example/Guidance

#### Lines and Angles

### Worksheet

- Angles: Supplementary, Corresponding & Alternate (1 of 2)
- Angles: Supplementary, Corresponding & Alternate (2 of 2)
- Angles: Supplementary

Similar to the above listing, the resources below are aligned to related standards in the Common Core For Mathematics that together support the following learning outcome:

*Solve real-life and mathematical problems involving angle measure, area, surface area, and volume*

- Circles e.g. Identifying radii, diameter and center (From Worksheet)
- Circumference of a Circle (From Worksheet)
- Area of a Circle (From Worksheet)
- Calculating Volumes e.g. of triangular prisms and cylinders (From Worksheet)
- Calculating Compound Areas (with circles, semi-circles, etc.) (From Worksheet)