Geometry practice

Find All Missing Angles Worksheets

Find seven missing angles from one given on parallel lines, or mix in right-angle split diagrams for complementary-angle reasoning.

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Find every missing numbered angle using the marked parallel lines or right angles.

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Build from the given angle

Use a direct vertical or corresponding equality, then use a straight-line supplement to reach the other measure class.

Learning objective

What this activity builds

Combine corresponding, alternate, vertical, supplementary and complementary relationships to find missing angles.

Worked example

One angle where a transversal crosses parallel lines is 63 degrees. Find its vertical angle and an adjacent angle.

63 degrees and 117 degrees.

Vertical angles are equal. Adjacent angles forming a straight line total 180 degrees, so 180 - 63 = 117. Corresponding positions at the other intersection repeat these measures.

Teaching notes

Make the practice count

  • Begin with the given angle, then use equal or supplementary angles.
  • Parallel-line diagrams have eight numbered angles and one given measure.
  • Mixed mode adds two right-angle split diagrams: complementary parts add to 90 degrees.

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Choose your options, update the preview, then download the exact same pages.

Six numbered diagrams give one angle and ask for every other angle. Parallel Lines keeps the source-style set; Mixed adds two perpendicular right-angle split graphs.

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Math SheetNameScoreTeacherDateFind All AnglesUse vertical, corresponding, supplementary, complementary and right-angle facts to find every missing angle.1. Angle 1 is given. Find angles 2, 3, 4, 5, 6, 7, 8.Given: A1 = 129 deg12345678A2A3A4A5A6A7A82. Angle 4 is given. Find angles 1, 2, 3, 5, 6, 7, 8.Given: A4 = 56 deg12345678A1A2A3A5A6A7A83. Angle 5 is given. Find angles 1, 2, 3, 4, 6, 7, 8.Given: A5 = 31 deg12345678A1A2A3A4A6A7A84. Angle 1 is given. Find angles 2, 3, 4, 5, 6, 7, 8.Given: A1 = 69 deg12345678A2A3A4A5A6A7A85. Angle 4 is given. Find angles 1, 2, 3, 5, 6, 7, 8.Given: A4 = 146 deg12345678A1A2A3A5A6A7A86. Angle 7 is given. Find angles 1, 2, 3, 4, 5, 6, 8.Given: A7 = 113 deg12345678A1A2A3A4A5A6A8Use equality first, then 180-degree or 90-degree totals where the marks justify them.math-sheet.comPage 1 of 1

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