Answer:
The correct option is (C) x = 78, y = 64 and z =102
Step-by-step explanation:
Looking into the figure the bigger triangle is having angles 59 and 43, If we add 43 and 14 we get 57. Now we have two angles 57 and 43. We know that triangle angles sum up to 180 so 180 = 59 +(14+43) is the third angle which will become angle 64 which is angle y.
Now look the triangle which is having angles as 14,z,y we already know two angles so we can find third.
14+ 64 + z = 180
z = 102
Similarly in order to find x we take the triangle with angles 59, 43 and x.
59 + 43 + x = 180
x = 78
