Angle Relationships By Mr. Q

Adjacent Angles Two angles with common vertex Have common sides Interior angles do not overlap

Supplementary Angles Two angles whose measures equal 180 degrees ??

Vertical Angles Also called opposite angles When two lines intersect, the opposite angles are equal <1 = <3 <2 = <4 2 1 3 4

Polygon Can be divided into triangles Sum of interior angles in a triangle = 180 d To find the sum of the measures of all angles in a polygon: Multiply the number of triangles by 180°

Steps to find the sum of the angles in a polygon Draw polygon (geometry template) Divide polygon into triangles Multiply the number of triangles by 180°

Rule Number of sides a polygon has MINUS 2 = the number of triangles it can be divided into Example: Square 4 sides – 2 = 2 triangles 2 * 180° = 360°

Table Polygon Number of sides Number of sides –2 is the number of triangles that can be made Number of triangles * 180 is the sum of the angles for this polygon Triangle 3 3-2 = 1 1 * 180 = 180 Quadrangle 4 4-2 = 2 2 * 180 = 360 Pentagon 5 5-2=3 3 * 180 = 540 Hexagon 6 6-2=4 4 * 180 = 720

Transversal A line that crosses two lines Any two angles formed by the line and transversal are: Vertical or supplementary angles