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Worksheets›Grade 4›Angles›Finding unknown angles

Finding Unknown Angles Worksheets

Free printable worksheets with answer keys. Pick a level, preview the questions, then open the sheet to swap or delete any single question.

Grade 4CCSS 4.MD.C.7Answer key includedPDF · Print
Open in generatorStart with an easy sheet

Easy: Two angles in a right angle

  1. 1.The angles make a right angle.Find the unknown angle.75°?
  2. 2.The angles make a right angle.Find the unknown angle.55°?
  3. 3.The angles make a right angle.Find the unknown angle.65°?
  4. 4.The angles make a right angle.Find the unknown angle.40°?
  5. 5.The angles make a right angle.Find the unknown angle.60°?
  6. 6.The angles make a right angle.Find the unknown angle.25°?
Preview shows 6 of 12 questions. Every sheet is new; open it to change any question.

Worksheet variations

Angles that share a vertex and don't overlap add up. A right angle, marked with a small square, is 90°; a straight line is 180°. Subtract the known angles from the whole to find the unknown one.

EasyThe angles make a right angle.Find the unknown angle.70°?Two angles in a right angleMediumThe angles lie on a straight line.Find the unknown angle.115°?Two angles on a straight lineHardThe angles make a right angle.Find the unknown angle.45°?25°Three angles in a right or straight angle

How to solve it: a worked example

Find the unknown angle.

  1. StartThe angles make a right angle.Find the unknown angle.30°?
  2. A right angle is 90°90° − 30° = 60°
  3. Answer60°

Common mistakes to watch for

  • Subtracting from 180° when the whole is a right angle, or from 90° when it is a straight line.
  • Subtracting only one of two known angles.
  • Measuring the picture instead of using the numbers.

Tip: tick “Step-by-step answer key” in the generator to print each step for marking.

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FAQ

Is every worksheet different?

Yes. Numbers are generated each time, and the answer key is calculated for that sheet. Swap any single question and its answer updates too.

Can I mix finding unknown angles with other skills?

Yes. In the generator, add more skills; each gets its own section on the sheet with its own instructions.

Is it free to print?

Yes. Generating and printing from the browser is free with no sign-up. PDF downloads need a free account.