Year 11
Core
Year 11
Core
Circle Theorems: Angles in the same segment
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Lesson details
Key learning points
- In this lesson, we will learn that angles in the same segment are equal when subtended from the same chord. We will prove this result with a general case.
Licence
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3 Questions
Q1.
Work out the size of angle x.
![An image in a quiz](/_next/image?url=https%3A%2F%2Foaknationalacademy-res.cloudinary.com%2Fimage%2Fupload%2Fv1707164389%2Fcixavt9qh2rdhioqfi2h.png&w=640&q=75)
180º
30º
45º
Q2.
Work out the size of angle y.
![An image in a quiz](/_next/image?url=https%3A%2F%2Foaknationalacademy-res.cloudinary.com%2Fimage%2Fupload%2Fv1707164398%2Fjbkxitrfwuijiokdzll1.png&w=640&q=75)
147º
22º
90º
Q3.
Work out the size of angle x.
![An image in a quiz](/_next/image?url=https%3A%2F%2Foaknationalacademy-res.cloudinary.com%2Fimage%2Fupload%2Fv1707164411%2Ft1orlelkjikq4ebgcsxt.png&w=640&q=75)
122º
45º
58º
3 Questions
Q1.
Work out the size of angle x.
![An image in a quiz](/_next/image?url=https%3A%2F%2Foaknationalacademy-res.cloudinary.com%2Fimage%2Fupload%2Fv1707168497%2Fxjq9bzx26rry4xnonsiu.png&w=640&q=75)
104º
128º
38º
Q2.
Work out the size of angle y.
![An image in a quiz](/_next/image?url=https%3A%2F%2Foaknationalacademy-res.cloudinary.com%2Fimage%2Fupload%2Fv1707168502%2Fsty5b47ri0thedzeupev.png&w=640&q=75)
147º
57º
66º
Q3.
Work out the size of angle x.
![An image in a quiz](/_next/image?url=https%3A%2F%2Foaknationalacademy-res.cloudinary.com%2Fimage%2Fupload%2Fv1707168503%2Ftgsqk8mk9pebngsantme.png&w=640&q=75)
21.5º
86º
90º