The ratio of the adjacent angles of a parallelogram is 5 : 13. 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 most appropriate option:  A) 168°  B) 134°  C) 156°  D) 224°  E) None of these
The measures of the adjacent angles of a parallelogram add up to be 180°   Given   So, 5x + 13x = 180°   Or, 18x = 180°   Or, x = 10°   Hence the angles of the parallelogram are 50° and 130°   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 50° + 84° = 134°   Answer : 134°50  + 84= 
<gadget id="calculator">50  + 84</gadget>
<output>134</output>
134°   Answer : 134°
<result>B</result>
The ratio of the adjacent angles of a parallelogram is 5 : 13. 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?