In each of the following figures O is the centre of the circle. Find the size of each lettered angle
Tangent T
24 cm
o
W x
18 cm
Р
y cm - Tangent
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Step-by-step explanation:
In the figure,
AC is the diameter of circle with centre O
∠DAC=37o
AD || BC
∠ACB=∠DAC (Alternate angles)
Hence,
x=37o
In Δ ABC,
∠B=90o (angle in semicircle)
By angle sum property of triangle, we get,
∠x+∠y+∠B=180o
37o+∠y+90o=180o
∠y=180o−127o
We get,
∠y=53o
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