Question

ABCD is a rectangle. Find the value of ‘x’, ’y’ and ‘z’. Explain your answer with proper reasons.

Answer 1

Answer:

x=31,y=59,z=62

Step-by-step explanation:

In a rectangle all the four angles are equal to 90

Therefore x+59=90

               x=31.

The diagonals of a rectange bisect each other, therefore the sides OC and OB are equal. Therefore angle x= 90-y

y=90-31

y=59

angle BA0=59 (Alternate interior angles)

y+z+59=180(Angle sum property of a triangle)

z=180-59-59=62