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Use the exterior angle of a triangle

8th grade (Year 9 in England) · 16 questions · Common Core: 8.G.A.5 · England: KS3 Geometry and measures, GCSE Foundation Geometry and measures

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  1. Question 1

    An exterior angle of a triangle is 61°. One of the two opposite interior angles is 25°. Find the other opposite interior angle.

    Answer

  2. Question 2

    In a triangle the two opposite interior angles are (x + 6)° and (2x + 14)°. The exterior angle is 65°. Find x.

    Answer

  3. Question 3

    An exterior angle of a triangle is 95°. One of the two opposite interior angles is 35°. Find the other opposite interior angle.

    Answer

  4. Question 4

    In a triangle the two opposite interior angles are (x + 12)° and (2x + 2)°. The exterior angle is 50°. Find x.

    Answer

  5. Question 5

    An exterior angle of a triangle is 119°. One of the two opposite interior angles is 30°. Find the other opposite interior angle.

    Answer

  6. Question 6

    In a triangle the two opposite interior angles are (x + 20)° and (2x + 5)°. The exterior angle is 58°. Find x.

    Answer

  7. Question 7

    An exterior angle of a triangle is 60°. One of the two opposite interior angles is 39°. Find the other opposite interior angle.

    Answer

  8. Question 8

    In a triangle the two opposite interior angles are (x + 17)° and (2x + 8)°. The exterior angle is 61°. Find x.

    Answer

  9. Question 9

    An exterior angle of a triangle is 147°. One of the two opposite interior angles is 69°. Find the other opposite interior angle.

    Answer

  10. Question 10

    In a triangle the two opposite interior angles are (x + 16)° and (2x + 13)°. The exterior angle is 110°. Find x.

    Answer

  11. Question 11

    An exterior angle of a triangle is 107°. One of the two opposite interior angles is 66°. Find the other opposite interior angle.

    Answer

  12. Question 12

    In a triangle the two opposite interior angles are (x + 19)° and (2x + 9)°. The exterior angle is 64°. Find x.

    Answer

  13. Question 13

    An exterior angle of a triangle is 85°. One of the two opposite interior angles is 26°. Find the other opposite interior angle.

    Answer

  14. Question 14

    In a triangle the two opposite interior angles are (x + 16)° and (2x + 13)°. The exterior angle is 98°. Find x.

    Answer

  15. Question 15

    An exterior angle of a triangle is 98°. One of the two opposite interior angles is 67°. Find the other opposite interior angle.

    Answer

  16. Question 16

    In a triangle the two opposite interior angles are (x + 8)° and (2x + 9)°. The exterior angle is 74°. Find x.

    Answer

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Answer key: Use the exterior angle of a triangle

  1. 1. 36

  2. 2. 15

  3. 3. 60

  4. 4. 12

  5. 5. 89

  6. 6. 11

  7. 7. 21

  8. 8. 12

  9. 9. 78

  10. 10. 27

  11. 11. 41

  12. 12. 12

  13. 13. 59

  14. 14. 23

  15. 15. 31

  16. 16. 19