Question

In the given figure,AB is the diameter of the circle.find angle CAB, if angle ABC=55°.​

Answer 1

Answer:

Angle CAB = 35°

Step-by-step explanation:

In a circle,

AB is the diameter

To make an angle ABC, C has to be a point on the circle.

The angle subtended by a diameter of the circle is always 90°

Therefore,

Angle ABC = 55°

Angle ACB = 90°

ABC becomes a right-angled triangle.

Sum of all angles in a triangle = 180° .... Formula

Angle ABC + Angle ACB + Angle CAB = 180°

55° + 90° + Angle CAB = 180°

Angle CAB = 180° - 55° - 90°

Angle CAB = 180° - 145°

Angle CAB = 35°