Circle Theorems: Angles in a cyclic quadrilateral
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Lesson details
Key learning points
- In this lesson, we will learn that opposite angles in a cyclic quadrilateral sum to 180 degrees. We will prove this result with a general case.
Licence
This content is made available by Oak National Academy Limited and its partners and licensed under Oak’s terms & conditions (Collection 1), except where otherwise stated.
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3 Questions
Q1.
Work out the size of angle x.
104º
128º
38º
Q2.
Work out the size of angle y.
147º
57º
66º
Q3.
Work out the size of angle x.
21.5º
86º
90º
3 Questions
Q1.
What can you say about the angles x and y in this diagram?
They are both acute angles.
They are both obtuse angles.
They will add together to equal 90º.
Q2.
Work out the size of angle x.
110º
185º
70º
Q3.
Work out the size of angle y.
109º
149º
74º