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MathematicsGrade 4en

📐 Angles in Shapes

Master identifying and measuring angles in common 2D shapes! This quiz explores interior angles of triangles, quadrilaterals, and polygons, and reveals the patterns that help us find missing angles. Learn why all triangles have the same angle sum and how this applies to other shapes. **What you'll learn:** - Identify interior angles in triangles and quadrilaterals - Apply the angle sum rule: triangles = 180°, quadrilaterals = 360° - Classify angles and shapes using angle properties - Find missing angles using angle sum relationships - Understand angle properties across different polygon types

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Questions in this quiz

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  1. Question 1

    A triangle has three interior angles. If two of the angles are 45°45° and 65°65°, what is the measure of the third angle?

  2. Question 2

    The sum of all interior angles in any quadrilateral is always 360°360°.

  3. Question 3

    In a rectangle, all four interior angles are equal. What is the measure of each angle?

  4. Question 4

    A quadrilateral has angles measuring 75°75°, 110°110°, and 85°85°. What is the measure of the fourth angle?

  5. Question 5

    An equilateral triangle has three angles that each measure 60°60°.

  6. Question 6

    Which of the following sets of three angles could form a valid triangle?

  7. Question 7

    A right-angled triangle has one angle of 90°90° and another angle of 35°35°. What is the third angle?

  8. Question 8

    A triangle can have two right angles (two angles of 90°90° each).

  9. Question 9

    A square is a special type of quadrilateral. What is the sum of all its interior angles?

  10. Question 10

    In an isosceles triangle, two of the angles are 70°70° each. What is the measure of the third angle?

  11. Question 11

    A pentagon (five-sided polygon) has interior angles that sum to 540°540°.

  12. Question 12

    A trapezoid is a quadrilateral with one pair of parallel sides. What is the sum of its four interior angles?

  13. Question 13

    A parallelogram has angles measuring 120°120°, 60°60°, 120°120°, and one unknown angle. What is the unknown angle?

  14. Question 14

    All triangles, no matter their size or shape, have interior angles that sum to 180°180°.

  15. Question 15

    A triangle has angles of xx, 2x2x, and 3x3x. What is the value of xx?

  16. Question 16

    A quadrilateral has angles measuring 85°85°, 95°95°, 100°100°, and one unknown angle. What is the measure of the unknown angle?

  17. Question 17

    A hexagon is a six-sided polygon. What is the sum of its interior angles?