Question

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​

Answer 1

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