First of all, we must understand: minute hand walking: 360/6 = 6 degrees/minute; Clockwise: 360/ 12 = 30 degrees/hour = 0.5 degrees/minute.

( 1)6: 15 ; The minute hand is located at 15 * 6 = 90 degrees; Clockwise hand has gone: 15 * 0.5 = 7.5 degrees; Location: 180+7.5 = 187.5 degrees.

Then: the angle between the hour hand and the minute hand is 187.5-90 = 97.5 degrees.

(2) 2:50 ; Minute hand position: 50 * 6 = 300 degrees; Clockwise hand has gone: 50 * 0.5 = 25 degrees; Located at 60+25 = 85 degrees.

Then: the angle between the hour hand and the minute hand is 300-85 = 2 15 degrees or expressed as: 360-2 15 = 145 degrees.