Question

Given in quadrilateral abcd, angle c=64, angle d=angle c-8;angle a=5(a+2) and.Comangle b=2(2a+7) calculate angle a

Answer 1

45.5 degree is the measure of angle a

Answer 2

We know that sum of all angles of quad is 360  

So

64 +(64-8)+5 (a+2)+2 (2a+7) = 360

64 + 56 + 5a + 10 + 4a +14 = 360

64 + 56 + 9a + 24 = 360

144+ 9 a = 360

9a = 360 - 144

a = 216/ 9

a = 24 Ans