The ratio of the adjacent angles of a parallelogram is 6 : 9. 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 answer: A) 168° 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, 6x + 9x = 180°   Or, 15x = 180°   Or, x = 12°   Hence the angles of the parallelogram are 72° and 108°   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 72° + 84° = 156°   Answer : 156°72  + 84= 
<gadget id="calculator">72  + 84</gadget>
<output>156</output>
156°   Answer : 156°
<result>C</result>
The ratio of the adjacent angles of a parallelogram is 6 : 9. 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?