Question

i)
In a circle with centre 'o', seg AB is a diameter. Point M is in the exterior of the
circle. Which type of angle is ZAMB? Draw the figure & write proof to justify your
answer.​

Answer 1

Given Centre of the circle is 'O' and segment AB is a diameter .

Point M is an exterior point of the Circle.

Join A and B to M .

AM intersecting circle at point C . Join B to C .

<ACB = 90° ( Angle in semicircle ).

∆BCM is a right angled triangle .

Now, <AMB < 90° .

Therefore.,

<AMB is an acute angle .

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