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Solve for x using the angle sum 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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Date

Score/ 16

  1. Question 1

    The angles of a triangle are (x + 24)°, (2x + 7)° and (3x − 79)°. Find x.

    Answer

  2. Question 2

    In a triangle, one angle is 96°, another is (2x + 16)° and the third is (x + 2)°. What is the size of the largest angle?

    Answer

  3. Question 3

    The angles of a triangle are (x + 2)°, (2x − 8)° and (2x + 61)°. Find x.

    Answer

  4. Question 4

    In a triangle, one angle is 148°, another is (2x − 4)° and the third is (x + 0)°. What is the size of the largest angle?

    Answer

  5. Question 5

    The angles of a triangle are (3x + 27)°, (3x + 22)° and (2x + 35)°. Find x.

    Answer

  6. Question 6

    In a triangle, one angle is 84°, another is (2x + 8)° and the third is (x + 25)°. What is the size of the largest angle?

    Answer

  7. Question 7

    The angles of a triangle are (3x − 3)°, (x − 3)° and (2x − 48)°. Find x.

    Answer

  8. Question 8

    In a triangle, one angle is 109°, another is (2x − 3)° and the third is (x + 29)°. What is the size of the largest angle?

    Answer

  9. Question 9

    The angles of a triangle are (x − 9)°, (x + 5)° and (2x + 60)°. Find x.

    Answer

  10. Question 10

    In a triangle, one angle is 73°, another is (2x + 14)° and the third is (x + 3)°. What is the size of the largest angle?

    Answer

  11. Question 11

    The angles of a triangle are (x + 24)°, (2x + 19)° and (3x + 17)°. Find x.

    Answer

  12. Question 12

    In a triangle, one angle is 111°, another is (2x + 20)° and the third is (x + 19)°. What is the size of the largest angle?

    Answer

  13. Question 13

    The angles of a triangle are (x − 10)°, (3x + 25)° and (x)°. Find x.

    Answer

  14. Question 14

    In a triangle, one angle is 103°, another is (2x + 1)° and the third is (x + 10)°. What is the size of the largest angle?

    Answer

  15. Question 15

    The angles of a triangle are (3x + 14)°, (x − 5)° and (2x − 63)°. Find x.

    Answer

  16. Question 16

    In a triangle, one angle is 132°, another is (2x + 0)° and the third is (x + 0)°. What is the size of the largest angle?

    Answer

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  1. 38
  2. 96
  3. 25
  4. 148
  5. 12
  6. 84
  7. 39
  8. 109
  9. 31
  10. 74
  11. 20
  12. 111
  13. 33
  14. 103
  15. 39
  16. 132