The ratio of the adjacent angles of a parallelogram is 4 : 11. Also, the ratio of the angles of quadrilateral is 5 : 6 : 7 : 12. What is the sum of the smaller angle of the parallelogram and the second largest angle of the quadrilateral?
Choose the correct choice from the following.
A) 132° B) 228° C) 156° D) 224° E) None of these
The measures of the adjacent angles of a parallelogram add up to be 180°   Given   So, 4x + 11x = 180°   Or, 15x = 180°   Or, x = 12°   Hence the angles of the parallelogram are 48° and 132°   Further it is given   We know sum of all the four angles of a quadrilateral is 360°   So, 5y + 6y + 7y + 12 y = 360°   Or, 5y + 6y + 7y + 12 y = 360°   Or, 30y = 360°   Or, y = 12°   Hence the angles of the quadrilateral are 60° , 72, 84° and 144°   Will be 48° + 84° = 132°   132°nswer : 132°48  + 84= 
<gadget id="calculator">48  + 84</gadget>
<output>132</output>
132°   132°nswer : 132°
<result>A</result>
The ratio of the adjacent angles of a parallelogram is 4 : 11. Also, the ratio of the angles of quadrilateral is 5 : 6 : 7 : 12. What is the sum of the smaller angle of the parallelogram and the second largest angle of the quadrilateral?