Missing Angles - Exam Style Questions

Essential Tools

• Pencil, pen, ruler, protractor, pair of compasses, and eraser.
• Optional: Tracing paper.

Guidance for Exam

1. Read each question carefully before answering.
2. Do not spend too long on one question.
3. Attempt every question.
4. Check your answers for accuracy.
5. Always show your workings.

Revision Questions

Question 1

• (a) Work out the angle marked y.
  • Reason for your answer.
• (b) Work out the angle marked w.
  • Reason for your answer.
• (c) Work out the angle marked p.
  • Reason for your answer.

Question 2

• Find the angle marked x in a quadrilateral.

Question 3

• Calculate angle y in a right-angled triangle.

Question 4

• (a) Find the angle marked x.
• (b) Provide reason for your answer.

Question 5

• Determine the size of angle x.

Question 6

• Calculate the size of angle x.

Question 7

• Determine the size of angle y in a quadrilateral.

Question 8

• (a) Calculate angle a.
• (b) Calculate angle b.

Question 9

• Parallelogram problem:
  • (a) Calculate angle x.
  • (b) Calculate angle y.

Question 10

• Find the angle marked y in an isosceles triangle.

Question 11

• Determine angle w in an isosceles triangle.

Question 12

• Find the size of angle x.

Question 13

• Calculate angle y.

Question 14

• (a) Calculate angle x.
• (b) Calculate angle w.

Question 15

• Triangle EFG (isosceles) with straight lines FGH and EGI:
  • (a) Find angle HGI (given EGF is 104°).
  • (b) Find angle EFG.

Question 16

• Calculate angle y in a setup with 3 straight lines.

Question 17

• Assess whether AC is a straight line and explain.

Question 18

• Isosceles triangle with one angle of 84°:
  • Provide possible sizes for the other two angles.

Question 19

• Find angle y in a kite.

Question 20

• Triangles ACD and BCD are isosceles; evaluate whether ADC is a right angle and explain.

Question 21

• Given DEF is a straight line, CE = CF, ECF = 40°, and DCE = 15°:
  • Find angle y.