Answer:
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°.
