The central angles of the circle determine the size of each sector.

The carpenter checked that the cabinet doors met at perfect right angles before installing the hardware.

When a transversal crosses two parallel lines, the alternate angles formed on opposite sides of the transversal are equal, so you can use them to prove triangles are congruent.

The sum of the exterior angles of any convex polygon is 360 degrees, regardless of the number of sides.

The physics lab measured the critical angles for different glass samples to study light refraction.

The adjacent angles along a straight line add up to 180 degrees.

When two lines intersect, the opposite angles are equal, which helps solve many geometry problems.

Engineers measured the angles of torsion along the drive shaft to detect any structural weaknesses.

When solving trigonometric equations, drawing the reference angles in each quadrant often makes the work much easier.

The surgeon measured the carpal angles to determine the severity of the wrist deformity.