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Find Unknown Angles From Angle Pairs

Written by Adi Ackerman, Head Teacher

"Find Unknown Angles From Angle Pairs" 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.

Popular with 7th Grade teachers · Downloaded 376 times
Find Unknown Angles From Angle Pairs
Find Unknown Angles From Angle Pairs

7th grade math worksheet: write and solve an equation for the unknown angle x in figures with 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 use an angle fact to write an equation for each figure.
  • Students will solve the equation in the work space.
  • Students will write the value of x in degrees.


Curriculum Links

Common Core State Standards

Geometry · 7th Grade

7.G.B.5

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

Browse the grade, subject, and topic this belongs to.

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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Write and solve an equation for the unknown angle x in figures with angle pairs. The directions on the page read: Use the angle fact in each figure to write an equation. Solve it in the work space and write the value of x on the line. 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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Worksheet Details

Grade7th Grade
SubjectMath
TopicGeometry
Standard7.G.B.5
Pages1 page
DifficultyMedium

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