In any triangle ABC, if the angle bisector of ∠A and perpendicular bisector of BC intersect, prove that they intersect on the circumcircle of the triangle ABC.

• radius    
•  diameter
• segment 
• segment 

• outside the circle

• inside the circle

• on the circle
• on the circle

• one and only one
• two
• three
• three

• 30°
• 45°
• 60°
• 60°

• are complementary
• are supplementary
• are equal
• are equal

• acute
• right
• obtuse
• obtuse

In the following figure, ∠CAB = 40°, ∠AKB = 105°. The measure of ∠KCD is

• 72.5°
• 40°
• 35°
• 35°

120. The degree measure of an angle of a segment of a circle is 60°. The degree measure of the angle subtended by the chord of the segment at the centre of the circle is

• 60°
• 90°
• 120° 
• 120°