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Chapter 6 Honors Geometry How many sides does a polygon have if the sum of the measures of the interior angles is 2880? 18 Sides Find the sum of the exterior angles (one per vertex) of a 23-gon. 360 How many sides does a polygon that contains 27 diagonals have? 9 Sides Name the polygon whose ratio of each interior angle to each exterior angle is 4:1. A. B. C. D. E. F. Quadrilateral Pentagon Hexagon Heptagon Octagon Decagon Opposite angles of an isosceles trapezoid are: A. B. C. D. Complementary Supplementary Congruent No relationship ABCD is a rhombus. Find mCDB if mABC = 126. A. mCDB = 126 B. mCDB = 63 C. mCDB = 54 D. mCDB = 27 Sahas has a shape he knows to be a parallelogram and all four sides are congruent. Which information does he need to know to determine whether it is also a square? A. The diagonal bisects a pair of opposite angles. B. The diagonals bisect each other. C. The diagonals are perpendicular. D. The diagonals are congruent. LMNO is a rhombus. Find x. A. 5 B. 7 C. 10 D. 12 LMNO is a rhombus. Find y. A. 6.75 B. 8.625 C. 10.5 D. 12 If JKLM is a kite, find KL. A. 5 B. 6 C. 7 D. 8 The diagram shows a car jack used to raise a car from the ground. In the diagram, AD BC and AB DC. Based on this information, which statement will be true, regardless of the height of the car jack. A. A B B. A C C. AB BC D. mA + mC = 180 Find the measure of an interior angle of a regular polygon that has 10 sides. A. 180 B. 162 C. 144 D. 126 Find the measure of an interior angle of a regular polygon that has 12 sides. A. 135 B. 150 C. 165 D. 180 What is the sum of the measures of the interior angles of a 20-gon? A. 3600 B. 3420 C. 3240 D. 3060 What is the sum of the measures of the interior angles of a 16-gon? A. 3060 B. 2880 C. 2700 D. 2520 Find x if QRSTU is a regular pentagon. A. 21 B. 15.25 C. 12 D. 10 What type of regular polygon has interior angles with a measure of 135°? A. pentagon B. hexagon C. octagon D. decagon