## Understanding Quadrilaterals
(ii)
So, Required angle = 180° - 50° = 130°
x and y are complementary, x and y = 180° - 80° = 100°
So, x = 90° So, y = 180° - (90° + 30°) = 60° The top vertex angle of the above figure = 60° x 2=120° Hence, bottom vertex Angle = 120° and z = 60°
x= 180°-(112°-40°)=28° As adjacent angles are complementary so angle of the bottom left vertex =180°-112°=68° So, z=68°-40°=28° Another way of solving this is as follows: As angles x and z are alternate angles of a transversal so they are equal in measurement.
(ii) In a parallelogram opposite sides are always equal, here AD BC, so its not a parallelogram. (iii) Here opposite angles are not equal, so it is not a parallelogram.
Hence, y = 110° x = 180° - (110° + 40°) = 30°, (triangle’s angle sum) z = 30° (Alternate angle of a transversal)
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