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Lesson 10 of 15
Angles in quadrilaterals
I can explain why the angles in a quadrilateral sum to 360° and use this to find missing angles.
Lesson 10 of 15
New
New
Angles in quadrilaterals
I can explain why the angles in a quadrilateral sum to 360° and use this to find missing angles.
Lesson details
Key learning points
- A quadrilateral is a shape with four sides and four vertices.
- Interior angles in a quadrilateral are composed of two triangles.
- Interior angles in a quadrilateral are equal to 360 degrees.
Keywords
Quadrilateral - A quadrilateral is a polygon with four straight sides and four vertices.
Point - A point is an exact location. It has no size, only position.
Sum - The sum is the result of adding two or more numbers.
Common misconception
Pupils may not have fluency in properties of 2D shapes and may therefore not notice properties of angles within quadrilaterals such as trapeziums.
Pre-teaching or providing a scaffold containing shape names and properties will allow pupils to see the properties and support them in making connections.
Encourage pupils to notice angles that look the same in size. You may like to have the angles cut out and available to manipulate to help visualise this, particularly where folding may help recognise angles that are the same size.
Teacher tip
Licence
This content is © Oak National Academy Limited (2025), licensed on Open Government Licence version 3.0 except where otherwise stated. See Oak's terms & conditions (Collection 2).
Lesson video
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Prior knowledge starter quiz
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6 Questions
Q1.Which of the angles shown is an obtuse angle?
Which of the angles shown is an obtuse angle?
B
C
Q2.What is the missing value in this bar model? °
What is the missing value in this bar model? °
Q3.What is the missing value in this bar model? °
What is the missing value in this bar model? °
Q4.Complete the sentence. ° is needed to complete the angles about a point.
Complete the sentence. ° is needed to complete the angles about a point.
Q5.This is a quadrilateral. Look carefully at the vertices and the angles inside the shape. Which statement is correct?
This is a quadrilateral. Look carefully at the vertices and the angles inside the shape. Which statement is correct?
The quadrilateral has four acute angles.
The quadrilateral has four obtuse angles.
The quadrilateral has two right angles and two acute angles.
Q6.This is a quadrilateral. Look carefully at the vertices and the angles inside the shape. Which statement is correct?
This is a quadrilateral. Look carefully at the vertices and the angles inside the shape. Which statement is correct?
The quadrilateral has four acute angles.
The quadrilateral has two acute angles and two obtuse angles.
The quadrilateral has three acute angles and one reflex angle.
Assessment exit quiz
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6 Questions
Q1.This is a quadrilateral. The angles of the vertices sum to °
This is a quadrilateral. The angles of the vertices sum to °
Q2.All rectangles have four vertices and each vertex is equal to °
All rectangles have four vertices and each vertex is equal to °
Q3.What is the missing value in this bar model? °
What is the missing value in this bar model? °
Q4.The image is not to scale. What is the value of missing angle a? a = °
The image is not to scale. What is the value of missing angle a? a = °
Q5.The image is not to scale. What is the value of missing angle a? a = °
The image is not to scale. What is the value of missing angle a? a = °
Q6.The image is not to scale. What is the value of missing angle a? a = °
The image is not to scale. What is the value of missing angle a? a = °
