geometry_quadrilaterals and polygons_4

© 2009 -2011 tutorco.com 1 Geo_3_4_S The following figures are parallelograms. Find the degree values of unknowns x, y and z Q1) Q2) Q3) GEOMETRY QUADRILATERALS AND POLYGONS © 2009 -2011 tutorco.com 2 Q4) Q5) Q6) © 2009 -2011 tutorco.com 3 Q7) If three angles of a quadrilateral are 70°, 8 3° and 112°, find the fourth angle. Q8) From the given figure find the value of x. Q9) If two angles of a quadrilateral are 76° and 13 8° and the other Two angles are equal, find the measure of equal angles. Q10) If one of the angles of a quadrilateral is 210° and the remaining three angles are equal, find the measure of equal angle. © 2009 -2011 tutorco.com 4 Q11) In a parallelogram ABCD, ∠A= and ∠C= Find ∠A and ∠B. Q12) Two opposite angles of a parallelogram are Find the measure of each angle of the parallelogram. Q13) In a quadrilateral ABCD, the angles a, B, C and Dare in the ratio 1:2:3:4. Find the measure of each angle of the quadrilateral. © 2009 -2011 tutorco.com 5 Q14) Find x Q15) Find the number of sides of a regular polygon who’s each exterior angle has measure 45°. Q16) How many sides does a regular polygon have if the measure of an exterior angle is 24°. © 2009 -2011 tutorco.com 6 Q17) What is the measure of each angle of a regular hexagon? Q18) The interior angle of a regular polygon is 156°.Find the number of sides of the polygon. Q19) The exterior angle of a regular polygon is one third of its interior angle. How many sides have the polygon? Q20) A heptagon has 4 equal angle each 132° and thr ee equal angles. Find the size of equal angles. © 2009 -2011 tutorco.com 7 Q21) Prove that the interior angle of a regular pentagon is three times the exterior angle of a regular decagon. Q22) ABCDE is a regular pentagon. The bisector of ∠A of the pentagon meets the side CD in M. Show that ∠AMC=90° Q23) The angles of a heptagon are in the ratio 1:10:2:5:3:4:5. Find its smallest and largest angles. © 2009 -2011 tutorco.com 8 Q24)The angles of a pentagon are Calculate . Q25) Find the sum of interior angles of a decagon. Q26) Is it possible to have a regular polygon, whose interior angle is 130°. Q27) Five angles of a hexagon are each 116°; calcul ate the size of the sixth angle. © 2009 -2011 tutorco.com 9 Q28) If the angles of a quadrilateral are in the ratio 2:3:4:6, find the angles. Q29) In a quadrilateral ABCD, AB||DC, If ∠A: ∠D=2:3 and ∠B: ∠C=7:8 Find the measure of each angle Q30)Two regular polygons are such that the ratio between their numbers of sides is 1:2 and the ratio of measures of their interior angles is 3:4. Find the number of sides of each polygon.