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Use the exterior angle of a triangle

Grade 10 math · Fieldbook Learning

Name ______________________ Date __________

An exterior angle equals the sum of the two remote interior angles.

  1. An exterior angle of a triangle is 65°. One remote interior angle is 28°. What is the other remote interior angle?
  2. Two remote interior angles of a triangle are 46° and 26°. What is the exterior angle at the third vertex?
  3. Two remote interior angles of a triangle are 48° and 77°. What is the exterior angle at the third vertex?
  4. Two remote interior angles of a triangle are 35° and 56°. What is the exterior angle at the third vertex?
  5. Two remote interior angles of a triangle are 25° and 72°. What is the exterior angle at the third vertex?
  6. Two remote interior angles of a triangle are 28° and 34°. What is the exterior angle at the third vertex?
  7. An exterior angle of a triangle is 91°. One remote interior angle is 36°. What is the other remote interior angle?
  8. Two remote interior angles of a triangle are 76° and 35°. What is the exterior angle at the third vertex?
  9. Two remote interior angles of a triangle are 64° and 88°. What is the exterior angle at the third vertex?
  10. An exterior angle of a triangle is 163°. One remote interior angle is 75°. What is the other remote interior angle?
  11. An exterior angle of a triangle is 68°. One remote interior angle is 24°. What is the other remote interior angle?
  12. Two remote interior angles of a triangle are 54° and 47°. What is the exterior angle at the third vertex?
  13. Two remote interior angles of a triangle are 63° and 70°. What is the exterior angle at the third vertex?
  14. Two remote interior angles of a triangle are 77° and 73°. What is the exterior angle at the third vertex?
  15. An exterior angle of a triangle is 75°. One remote interior angle is 53°. What is the other remote interior angle?
  16. Two remote interior angles of a triangle are 71° and 46°. What is the exterior angle at the third vertex?
  17. Two remote interior angles of a triangle are 44° and 42°. What is the exterior angle at the third vertex?
  18. Two remote interior angles of a triangle are 36° and 81°. What is the exterior angle at the third vertex?
  19. An exterior angle of a triangle is 141°. One remote interior angle is 74°. What is the other remote interior angle?
  20. Two remote interior angles of a triangle are 56° and 55°. What is the exterior angle at the third vertex?
More free practice: fieldbooklearning.com/practice/grade-10/exterior-angle-of-a-triangle/

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Answer key: Use the exterior angle of a triangle

  1. 37
  2. 72
  3. 125
  4. 91
  5. 97
  6. 62
  7. 55
  8. 111
  9. 152
  10. 88
  11. 44
  12. 101
  13. 133
  14. 150
  15. 22
  16. 117
  17. 86
  18. 117
  19. 67
  20. 111