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Grade 7 Mathematics Online Lessons on Geometry: Angles

Grade 7 Mathematics Online Lessons on Geometry: Angles
Areas Covered:
1. Angles on a straight line
2. Angles at a point
3. Alternate angles
4. Corresponding angles
5. Co-interior angles
6. Angles in a parallelogram
7. Angle properties of polygons
8. Interior and exterior angles of a polygon
9. Solving angles of polygons
10. Measuring angles
11. Bisecting angles
12. Constructing 60, 30, 7.5, 120, 75, 105, 90, 45 and 22.5 degrees
13. Constructing equilateral angles, isosceles triangles, right-angled triangles and circles

Lessons (25)

• 1.    Work out the values of the angles marked with letters in the figures below.
  3m 43s

• 2.    Find the value of the angle marked with a letter.
  2m 2s

• 3.    Three equal angles are on a straight line. What is the size of each angle?
  1m 30s

• 4.    Angles 21°, 57°, 81° and q are on a straight line. Work out the value of q.
  2m 22s

• 5.    Calculate the values of the angles marked with letters in the following figure.
  3m 5s

• 6.    What is the value of angle z?
  1m 52s

• 7.    Find the value of angle y in the figure below.
  2m 54s

• 8.    Three angles meet at a point as shown in the figure. Work out the size of angle m.
  1m 21s

• 9.    Four angles meet at a point. Two of the angles are 90° each. The other two angles are 57° and p. Calculate the value of p.
  2m 5s

• 10.    a) In the figure below, which angle is alternate to the following angles? i) n ii) r b) If angle r = 115°, calculate the value of angles n, p and u.
  2m 42s

• 11.    Calculate the values of the angles p, q, r, s, t, u and v.
  5m 10s

• 12.    What is the value of angles x, y and z?
  4m 6s

• 13.    Identify corresponding angles in the figure below.
  2m 8s

• 14.    In the figure below, angle marked z = 55°. Work out the value of angle p and s.
  2m 51s

• 15.    Calculate angles f, x, y and z.
  3m 53s

• 16.    What are the values of the angles marked with letters?
  4m 50s

• 17.    a) Identify the angles that are co-interior together with the following angles: c, g, f and h. b) If angle i = 35°, calculate the value of angles marked g, h and l.
  4m 35s

• 18.    Calculate the values of the angles in the parallelogram.
  2m 29s

• 19.    What are the values of the angles in the parallelogram?
  4m 10s

• 20.    ABCD is a parallelogram. One of the angles is 35°. What are the sizes of the other three angles?
  2m 33s

• 21.    Calculate the size of the angle marked with a letter in the following polygon.
  1m 35s

• 22.    Find the value of angle y and z.
  5m 8s

• 23.    A quadrilateral has its interior angles as 81°, 57°, 102° and q. What is the value of angle marked q?
  1m 47s

• 24.    The interior angles of a triangle are 25°, 109° and 46°. Calculate the size of each exterior angle.
  2m 2s

• 25.    The size of the interior angle of a regular polygon is 108°. Determine: a) The number of sides of the polygon. b) The size of the exterior angle. c) The sum of all the interior angles.
  4m 40s