Question

PL answer this question with proper step-by-step explanation​

Answer 1

Answer:

x = 30°

y = 15°

Step-by-step explanation:

OD// BC and OC as a transversal

OCB = DOC = 30°                       (Alternate interior angles)

AOC = 120°                         (AOD+DOC)

ABC = 60°                (angle subtended by an arc at its center is twice the

                                  angle it subtended on the circle's  circumference)

ABD = 1/2 AOD             ( "                     "              "                     " )

⇒ ABD = 45°

∴ y = 60°- 45° = 15°

∴ x = 90° - 60° = 30°

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