Angle Pairs With Ratio Clues
Written by Adi Ackerman, Head Teacher
"Angle Pairs With Ratio Clues" is written for 7th Grade (Ages 12-13), and it covers Common Core 7.G.B.5. A 6th grader who is already steady on geometry can use it too, and an older student can use it as a short review.


7th grade math worksheet: use ratios such as 2 to 3 to write equations and find complementary and supplementary angle pairs. Answer key included. Part of our angle relationships geometry collection. Aligned to Common Core standards.
How do I use this worksheet?
Start with Name Angle Pairs in Line Diagrams, then go through the single equation sheets before the expression sheets. Keep the reference or guided notes next to students as they work.
What students will practice
- Students will write an equation from a ratio of two angles.
- Students will use a sum of 90 degrees for complementary angles and 180 degrees for supplementary angles.
- Students will write both angle measures.


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Missing Diameter From Decimal Circumferences


Missing Diameter Word Problems From Circumference
Curriculum Links
Common Core State Standards
Geometry · 7th Grade
Standard: 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.
View all 7.G.B.5 worksheets →Find this in the curriculum
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FAQ
How do I use this angle relationships worksheet?
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Start with Name Angle Pairs in Line Diagrams, then go through the single equation sheets before the expression sheets. Keep the reference or guided notes next to students as they work.
What does this worksheet teach?
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Use ratios such as 2 to 3 to write equations and find complementary and supplementary angle pairs. The directions on the page read: Use the ratio to write an equation with x in each box, and solve it. Then write both angle measures on the lines. An answer key is included.
Can I use this angle relationships worksheet for homeschool or classroom?
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Yes, both. We made it for 7th grade geometry, and it works the same at home or at school. At home, a student can work through it alone and then go over it with you, which shows quickly what is solid and what needs another look. In class it works as independent practice, homework or a warm-up, and you can print one copy or a full set.
What are complementary and supplementary angles?
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Complementary angles add to 90 degrees and supplementary angles add to 180 degrees. Two angles that form a right angle are complementary, and two that form a straight line are supplementary. Complementary or Supplementary From a Figure has students name the pair and find x.
What are vertical angles?
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Vertical angles are opposite angles made by two intersecting lines, and their measures are equal. Angle Relationships Reference With Examples has students fill in this definition and sketch an example.
How do you find an unknown angle with an equation?
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Write that the angles add up to 90 or 180, then solve for x. In (2x + 10) + (3x + 20) = 180, 5x + 30 = 180, so x = 30. Guided Notes on Angle Pairs walks through this one step at a time.
How do you solve angle problems with a ratio?
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Write the angles as the ratio parts times x, such as 2x and 3x, and set the sum to 90 or 180. Angle Pairs With Ratio Clues has students write the equation, solve it and write both angle measures.
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Circumference From Radius or Diameter


Circumference in Terms of Pi and Word Problems


Area of Circles From Labeled Diagrams


Circle Area in Terms of Pi and Word Problems

Circle Area and Circumference From One Measure


Missing Diameter From Whole-Number Circumferences


Missing Diameter From Decimal Circumferences


Missing Diameter Word Problems From Circumference