Angles in a triangle – practice for Years 6–9

Sample questions on Angles in a triangle with the right answer and a worked solution, from easy to hard. In the Pickles Academy app a child gets new questions of the same kind every time, so they can't just learn the answers by heart.

Subject

Maths

Year

Years 6–9

Curriculum area

Geometry and measures

Question types: Multiple choice A–E

Sample questions

1. Question 1 Easy

   In triangle ABC, α = 68° and β = 53°. What is the size of angle γ?

   1. A) 69°
   2. B) 49°
   3. C) 112°
   4. D) 59°
   5. E) 121°
   Show the solution

   Answer: D) 59°

   How it works: The angles in a triangle add up to 180°: γ = 180° − 68° − 53° = 59°

2. Question 2 Normal

   In triangle ABC, α = 55° and β = 65°. What is the size of angle γ?

   1. A) 70°
   2. B) 60°
   3. C) 50°
   4. D) 120°
   5. E) 125°
   Show the solution

   Answer: B) 60°

   How it works: The angles in a triangle add up to 180°: γ = 180° − 55° − 65° = 60°

3. Question 3 Hard

   In triangle ABC, α = 60° and β = 58°. What is the size of angle γ?

   1. A) 52°
   2. B) 72°
   3. C) 118°
   4. D) 62°
   5. E) 120°
   Show the solution

   Answer: D) 62°

   How it works: The angles in a triangle add up to 180°: γ = 180° − 60° − 58° = 62°

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