ACTIVITY 7 ANGLE RELATIONSHIPS T INTERSECTING LINES 1 2 3 4 L M 5 6 7 8 1 List the following with reference to figure above Interior Angles Exterior Angles Alternate Interior Angles Alternate Exterior Angles Corresponding Angles Same sided Interior Angles Same sided Exterior Angles If the lines L and M are parallel Corresponding angles are congruent Alternate interior angles are congruent Alternate exterior angles are congruent Same sided interior and same sided exterior angles are supplementary L 1 2 3 4 2 M 5 6 7 8 T L and M are parallel and T is a transversal If angle 3 is 65 degrees find the measures of the other angles 3 Complete the table Polygon Triangle Square Pentagon Hexagon Heptagon Octagon Nonagon Decagon Dodecagon of sides of angles of diagonals 4 Complete the table Sum of Regular interior angles Polygon Triangle Square Pentagon Hexagon Heptagon Octagon Nonagon Decagon Dodecagon Measure of interior angle Measure of exterior angle Sum of exterior angle Measure of central angle 5 How many diagonals does an n gon have 6 Determine a Rule for finding each of the following for a regular n gon State whether the rule applies for any n gon or just for the regular n gon a Sum of the interior angles b Measure of an interior angle c Measure of an exterior angle d Sum of the measures of exterior angles e Measure of a central angle 7 Find the measure of the angles P Q and R shown below P 28 o R Q 70 o