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Missing angles in triangles, including isosceles and algebra

7th grade (Year 8 in England) · 16 questions · Common Core: 7.G.A.2, 8.G.A.5 · England: KS3 Geometry and measures, GCSE Foundation Geometry and measures

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Date

Score/ 16

  1. Question 1

    An isosceles triangle has a top angle of 126°. The other two angles are equal. What is each of them?

    ??126°

    Answer

  2. Question 2

    In a triangle, two angles are 36° and 96°. One side is extended to make an exterior angle next to the third angle. How big is that exterior angle?

    Answer

  3. Question 3

    The angles of a triangle are x, 2x and 3x. What is the largest angle, in degrees?

    Answer

  4. Question 4

    An isosceles triangle has two equal base angles of 48°. What is the third angle?

    48°48°?

    Answer

  5. Question 5

    In a triangle, two angles are 29° and 83°. One side is extended to make an exterior angle next to the third angle. How big is that exterior angle?

    Answer

  6. Question 6

    The angles of a triangle are 3x, 4x and 5x. What is the largest angle, in degrees?

    Answer

  7. Question 7

    An isosceles triangle has a top angle of 60°. The other two angles are equal. What is each of them?

    ??60°

    Answer

  8. Question 8

    In a triangle, two angles are 58° and 71°. One side is extended to make an exterior angle next to the third angle. How big is that exterior angle?

    Answer

  9. Question 9

    The angles of a triangle are 2x, 2x and 5x. What is the largest angle, in degrees?

    Answer

  10. Question 10

    An isosceles triangle has a top angle of 126°. The other two angles are equal. What is each of them?

    ??126°

    Answer

  11. Question 11

    In a triangle, two angles are 66° and 35°. One side is extended to make an exterior angle next to the third angle. How big is that exterior angle?

    Answer

  12. Question 12

    The angles of a triangle are 2x, 2x and 5x. What is the largest angle, in degrees?

    Answer

  13. Question 13

    An isosceles triangle has two equal base angles of 46°. What is the third angle?

    46°46°?

    Answer

  14. Question 14

    In a triangle, two angles are 78° and 37°. One side is extended to make an exterior angle next to the third angle. How big is that exterior angle?

    Answer

  15. Question 15

    The angles of a triangle are 2x, 3x and 4x. What is the largest angle, in degrees?

    Answer

  16. Question 16

    An isosceles triangle has two equal base angles of 66°. What is the third angle?

    66°66°?

    Answer

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Answer key: Missing angles in triangles, including isosceles and algebra

  1. 1. 27

  2. 2. 132

  3. 3. 90

  4. 4. 84

  5. 5. 112

  6. 6. 75

  7. 7. 60

  8. 8. 129

  9. 9. 100

  10. 10. 27

  11. 11. 101

  12. 12. 100

  13. 13. 88

  14. 14. 115

  15. 15. 80

  16. 16. 48