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Use your understanding of complementary, supplementary, and alternate angles to find the missing angles in the figures below. For help, see this lesson on Angle Relationships. (Page 1 of 3) 
1. Calculate the value of angle x and complete the sentence below to describe the relationship between the two angles.
x = 30° The 60° angle and angle x are complementary angles. 
2. Calculate the value of angle x and complete the sentence below to describe the relationship between the two angles.
x = 50° The 130° angle and angle x are supplementary angles. 
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Page 2 of 3: For help, see this lesson on Angle Relationships.
3. Calculate the values of angles a, b, and c and complete the sentence that describes their relationship .


4. Complete the table below to show the values of the missing angles and the basis for your calculations. (note: there may be more than one correct basis for each)

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Page 3 of 3: For help, see this lesson on Angle Relationships.
5. Use what you know about the sum of the angles in a triangle together with the properties of supplementary angles to calculate the missing angles in the figure below.

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Related Resources
The various resources listed below are aligned to the same standard, (8G05) taken from the CCSM (Common Core Standards For Mathematics) as the Geometry Worksheet shown above.
Use informal arguments to establish facts about the angle sum and exterior angle of triangles, about the angles created when parallel lines are cut by a transversal, and the angleangle criterion for similarity of triangles. For example, arrange three copies of the same triangle so that the sum of the three angles appears to form a line, and give an argument in terms of transversals why this is so.
Example/Guidance
Lines and Angles
Worksheet
 180° in a Triangle Activity (2Page Cutting Out Activity)
 Finding Missing Angles
 360° in a Quadrilateral Activity (Activity: Cutting & Rearranging Corners)
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:
Understand congruence and similarity using physical models, transparencies, or geometry software
 Congruent Triangles: With Transformations (From Example/Guidance)
 Congruence & Similarity: Dilations (From Example/Guidance)
 Similarity in Triangles (From Example/Guidance)
 Transformations & Coordinates (From Example/Guidance)
 Transformations (3Page) (From Worksheet)
 Congruent Worksheet (1 of 3) (From Worksheet)
 Congruent Worksheet (2 of 3) (From Worksheet)
 Congruent Worksheet (3 of 3) (From Worksheet)
 Transformations: Vector Translations (From Worksheet)
 Transformations: Rotations & Reflections (From Worksheet)
 Transformations: Calculating Coordinates (From Worksheet)
 Similar Figures (From Worksheet)
 Similar Triangles (From Worksheet)
 Similar Triangles (1 of 2) e.g. calculating scale factors and dimensions (From Worksheet)
 Similar Triangles (2 of 2) (From Worksheet)
 Dilations (Size Transformations) (From Worksheet)
 Similar Figures (From Worksheet)