The ratio of the adjacent angles of a parallelogram is 8 : 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? Select
A) 168°  B) 228°  C) 156°  D) 224°  E) 164°
The measures of the adjacent angles of a parallelogram add up to be 180°   Given   So, 8x + 10x = 180°   Or, 18x = 180°   Or, x = 10°   Hence the angles of the parallelogram are 80° and 100°   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 80° + 84° = 164°   Answer : 164°80  + 84= 
<gadget id="calculator">80  + 84</gadget>
<output>164</output>
164°   Answer : 164°
<result>E</result>
The ratio of the adjacent angles of a parallelogram is 8 : 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?