I ended up applying all the circle theorem's I knew. Can you help me figure this out?
1 Answer
Mar 8, 2018
x=80
Explanation:
You only need one circle theorem for this solution:.
The angle at A (BAC) is half the size of
('The angle subtended by an arc at the centre is twice the angle subtended at the circumference.' Source: BBC Bitesize )
Then some basic geometry:
All angles around a point add up to 360°
So internal angle at P (CPB) can be written as
And all angles in a quadrilateral add up to 360°
So we can form an equation:
By rearranging for