Question

11. In the parallelogram ABCD, ZB= (5x-8)° and Z D = (3x +52)°. Find the value of x and measure of each angle of parallelogram ABCD of the given Fig. 16. C B 70° A

Answer 1

Answer:

From the figure 

AD∥BC,BD is the transversal line 

⟹∠ADB=∠DBC     (∵alternate angles)

⟹z=30∘

Also

100∘,x are supplementary angles 

So x=180∘−100∘=80∘

x,y,30∘ forms a triangle 

⟹x+y+30∘=180∘

⟹y=180∘−80∘−30∘=70∘