Vertically opposite angles on a straight line
Equal
Angles on a straight line add up to
180
Angles on a point add up to
360
Angles in a triangle add up to
180
Base angles of an isosceles triangle
Equal
Angles in an equilateral triangle
Equal
Exterior angle in a triangle is equal to
The sum of the interior opposite angles
Angles in a quadrilateral add up to
360
Exterior angles of a polygon add up to
360
Interior + exterior angles of any polygon add up to
180
Alternate angles
Equal
Corresponding angles
Equal
Co-interior angles
Add up to 180
The angle at the centre of a circle
Twice the angle at the circumference
Angles in the same segment
Equal
The angle in a semicircle
90
Opposite angles in a cyclic quadrilateral
Add up to 180
Alternate segment theorem
-
Tangents to a circle from an external point
Equal in length
Tangents to a circle
Perpendicular to the radius