Question

SMLD is a semi circle of radius r and DL = LM = r If AZ bisects angle XAY and angle CAZ = angle CAY find angle BAC.
Please help

Answer 1

Answer:

When two line segments are drawn tangent to a circle from the same point outside the circle, the segments are equal in length.

In the following diagram:

If AB and AC are two tangents to a circle centred at O, then:

the tangents to the circle from the external point A are equal.

OA bisects the ∠BAC between the two tangents.

OA bisects the ∠BOC between the two radii to the points of contact.

triangle AOB and triangle AOC are congruent right triangles.