The ratio of the adjacent angles of a parallelogram is 5 : 10. 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 answers:
A) 168°	B) 228°	C) 144°	D) 224°	E) None of these
The measures of the adjacent angles of a parallelogram add up to be 180°   Given   So, 5x + 10x = 180°   Or, 15x = 180°   Or, x = 12°   Hence the angles of the parallelogram are 60° and 120°   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 60° + 84° = 144°   Answer : 144°60  + 84= 
<gadget id="calculator">60  + 84</gadget>
<output>144</output>
144°   Answer : 144°
<result>C</result>
The ratio of the adjacent angles of a parallelogram is 5 : 10. 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?