If two angles lie between the two lines on the same side of the transversal they are consecutive interior angles, or same-side interior angles. Same-Side Interior Angles Theorem. If a transversal intersects 2 parallel lines, then same-side interior angles are supplementary. Angle 3 and Angle 5 are Same Side Interior Angles

The cliffs brooklyn bridge parkLesson 5.2 • Exterior Angles of a Polygon Name Period Date 1. How many sides does a regular polygon have if each exterior angle measures 30°? 2. How many sides does a polygon have if the sum of the measures of the interior angles is 3960°? 3. If the sum of the measures of the interior angles of a polygon equals the sum of the

Derive and use the sum of angles in a triangle (e.g. to deduce and use the angle sum in any polygon, and to derive properties of regular polygons) G4: Derive and apply the properties and definitions of: special types of quadrilaterals, including square, rectangle, parallelogram, trapezium, kite and rhombus