Question

from the following figure ,O is the centre of the circle. Find x and y.​

Answer 1

Step-by-step explanation:

In the figure,

AC is the diameter of circle with centre O

∠DAC=37

o

AD || BC

∠ACB=∠DAC (Alternate angles)

Hence,

x=37 °

In Δ ABC,

∠B=90° (angle in semicircle)

By angle sum property of triangle, we get,

∠x+∠y+∠B=180 °

37° +∠y+90° =180°

∠y=180° −127 °

We get,

∠y=53 °

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