Lines ab and cd are straight lines. find x and y. give reasons to justify your solutions.

The measure of angle x  = 27°

The measure of angle y  =38°

Step-by-step explanation:

Given: ∠AOM = 90°

⇒ x + ∠MON =  90°

or,  x =  90° - ∠MON

        = 90° - 63°  = 27°

Hence, the measure of x  = 27°

Now, as the lines AB and CD intersect each other ,

The pair of angles ∠COB  and ∠AOD form  a pair of VERTICALLY OPPOSITE ANGLES.

⇒∠COB  =  ∠AOD  (Vertical Angles)

or,  128°  = x + 63° + y

From, above  :  128°  = 27 + 63° + y

or, y = 128° - 90° = 38°

or, the measure of angle y  =38°.

30005

yes ok