Find Unknown Angles in Multi-Step Figures

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.

Find unknown angles that need two angle facts, such as a straight line and a square corner. The directions on the page read: Use two angle facts and show both steps to find x. A square corner means 90°. An answer key is included.

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.

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.

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.

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.

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.