Shape and SpaceP7 level22 questions in the full course

Angles in TrianglesSEAG Practice Questions

Understanding that angles in a triangle always add up to 180° and using this to find missing angles.

Where your child meets this in real life: Calculating angles in roof trusses, triangular structures, or navigation

What your child needs to know

In the SEAG test

Each SEAG paper has 28 maths questions. Questions 29 to 50 are multiple choice with five possible answers, and questions 51 to 56 need a short written answer. With 56 questions in 60 minutes across English and maths, that is about a minute per question.

SEAGReady breaks angles in triangles into 3 steps, taught in order so each skill builds on the last.

  1. 1

    Two Angles Given

    Find the missing third angle when two angles of a triangle are given

  2. 2

    Isosceles and Equilateral

    Find angles in isosceles and equilateral triangles using equal-angle properties

  3. 3

    Reasoning with Internal Angles

    Solve multi-step problems using only internal triangle-angle properties

Try these SEAG-style questions

Try three free questions from our angles in triangles course. They start easy and get harder, so you can see where your child's confidence runs out. If they manage the last one without a hint, this topic is probably secure. If not, the steps above show where to start.

Question 1Confidence builder

The triangle shown has angles of 60° and 65°. What is the third angle?

A triangle with two interior angles labelled 60 degrees and 65 degrees and the third angle marked with a question mark.
Answer choices for question 1
Question 2Standard

The isosceles triangle shown has base angles of 55°. What is the apex angle?

An isosceles triangle with equal-side marks, two base angles labelled 55 degrees, and the apex angle marked with a question mark.
Answer choices for question 2
Question 3Stretch

In triangle ABC, angle A is 58 degrees and angle B is 40 degrees. What is angle C?

Triangle ABC has angle A labelled 58 degrees, angle B labelled 40 degrees, and interior angle C marked with a question mark.
Answer choices for question 3

Try the lesson: Two Angles Given

This is the exact interactive worked example your child sees in SEAGReady. Step through it and watch the method build up.

Jack is designing a triangular flag for his school's sports day. Two of the angles measure 55 degrees and 70 degrees.

What is the third angle of the flag?

55° + 70° + ? = 180°

Add the known angles
1

The two given angles are 55° and 70°

Step 1 of 4

Prefer to read? See every step written out

Jack is designing a triangular flag for his school's sports day. Two of the angles measure 55 degrees and 70 degrees.

What is the third angle of the flag?

  1. 1

    Add the known angles

    • The two given angles are 55° and 70°
    • Add them together55° + 70° = 125°
  2. 2

    Subtract from 180 degrees

    • Angles in a triangle always add to 180°
    • Find the missing angle180° − 125° = 55°

The third angle of the flag is 55°.

The key insight: Every triangle's angles add to exactly 180 degrees - no matter what shape it is!

Common mix-up: Using 360° instead of 180°. 360° is for angles around a point. Triangles always use 180°.

Mistakes to watch for

These are the misconceptions we see most often in angles in triangles, including the ones our practice questions are specifically designed to catch.

  • Thinking different triangle types have different angle sums
  • Forgetting to add all three angles before subtracting from 180
  • Confusing with angles on a straight line rule

Build these skills first

Struggling with angles in triangles? The real gap is often in one of these earlier topics.

More shape and space practice

Sitting the SEAG test this November? Read our last-month revision plan, Paper 1 vs Paper 2 and test day guide.

22 questions on this topic alone

Master angles in triangles and everything it unlocks

SEAGReady finds the exact step where your child gets stuck, teaches it with worked examples like the one above, and brings it back for review so it sticks.

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