91热爆

Angles at a point and on a straight line

Angles at a point

around a point add up to 360掳. This fact can be used to calculate missing angles.

Example

Calculate angle \(a\).

360 degrees, split into 60, 95 and 105 degrees, plus unknown angle, a

\(a = 360^\circ - 60^\circ - 95^\circ - 105^\circ = 100^\circ\)

Angles on a straight line

Angles on a straight line add up to 180掳. This fact can also be used to calculate angles.

Example

Calculate the angles \(b\) and \(c\).

Intrersecting lines, showing known angle of 30 degrees, plus unknown angles, b and c

\(b = 180^\circ - 30^\circ = 150^\circ\)

\(c = 180^\circ - 150^\circ = 30^\circ\)

Notice that vertically opposite angles are equal.