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Use the exterior angle of a triangle

10th grade (Year 11 in England) · 16 questions · Common Core: HSG.CO.C.10, 8.G.A.5 · England: GCSE Foundation Geometry

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  1. Question 1

    An exterior angle of a triangle is 95°. One of the two opposite interior angles is 32°. Find the other.

    Answer

  2. Question 2

    An exterior angle of a triangle is (2x + 4)°. The two opposite interior angles are x° and 32°. Find x.

    Answer

  3. Question 3

    A triangle has interior angles 32° and 55°. One side is extended at the third vertex. What is the exterior angle there?

    Answer

  4. Question 4

    An exterior angle of a triangle is (3x − 1)°. The two opposite interior angles are 2x° and 28°. Find x.

    Answer

  5. Question 5

    A triangle has interior angles 53° and 68°. One side is extended at the third vertex. What is the exterior angle there?

    Answer

  6. Question 6

    An exterior angle of a triangle is (2x + 10)°. The two opposite interior angles are x° and 36°. Find x.

    Answer

  7. Question 7

    A triangle has interior angles 33° and 44°. One side is extended at the third vertex. What is the exterior angle there?

    Answer

  8. Question 8

    An exterior angle of a triangle is (4x + 12)°. The two opposite interior angles are x° and 36°. Find x.

    Answer

  9. Question 9

    An exterior angle of a triangle is 82°. One of the two opposite interior angles is 53°. Find the other.

    Answer

  10. Question 10

    An exterior angle of a triangle is (4x + 5)°. The two opposite interior angles are 2x° and 65°. Find x.

    Answer

  11. Question 11

    An exterior angle of a triangle is 121°. One of the two opposite interior angles is 72°. Find the other.

    Answer

  12. Question 12

    An exterior angle of a triangle is (3x − 3)°. The two opposite interior angles are x° and 47°. Find x.

    Answer

  13. Question 13

    An exterior angle of a triangle is 83°. One of the two opposite interior angles is 53°. Find the other.

    Answer

  14. Question 14

    An exterior angle of a triangle is (3x + 7)°. The two opposite interior angles are x° and 43°. Find x.

    Answer

  15. Question 15

    A triangle has interior angles 26° and 23°. One side is extended at the third vertex. What is the exterior angle there?

    Answer

  16. Question 16

    An exterior angle of a triangle is (3x + 18)°. The two opposite interior angles are x° and 50°. Find x.

    Answer

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  1. 63
  2. 28
  3. 87
  4. 29
  5. 121
  6. 26
  7. 77
  8. 8
  9. 29
  10. 30
  11. 49
  12. 25
  13. 30
  14. 18
  15. 49
  16. 16