While practicing this, children will improve their concept on different types of angles (acute, right, obtuse, straight, reflex). Students often approach the topic of angles by memorising lots of vocabulary (acute, obtuse, right angle, etc.) What is the obtuse angle between the hands of a clock at 6 minutes past 8 o'clock? The angle measure between any two consecutive numbers on a clock is .. Explanation: . Positive Angles: An angle that is rotated Counter Clock-wise or Anti clockwise is a positive angle. For example, a clock showing 5 o'clock has an obtuse angle. There are 12 numbers on a clock that represent the hours. Acute angles. That is clear. But each minute on the clock is 360 /60 =6 degrees . Here student identifies type of angle formed by clock hands. and ‘facts’ about angles around a point, on a straight line, inside and outside a triangle and other polygons and between a transversal and parallel lines. For example, a capital letter "A" has an acute angle. At 4:45, the minute hand is at the "9" - that is, at the mark. Relative to hour hand , the angular speed of minute hand is 5.5 ° per minute. Angle =360-xHalf of clock is =180°And is distributed in 30°eachTherefore 5×30=150°Second angle = 360-150=210°Mark ia as brainlie… Right angle and straight angle; Revolution in a clock; Acute, Obtuse, Reflex Angles Measuring angles; Measuring angles using protractor; Perpendicular Lines; Classifying triangles; Quadrilaterals; Polygons; 3 Dimensional Shapes Then they have to choose the appropriate rule to get the right answer to each calculation. Call the "12" point on the clock the zero-degree point. Acute angles are angles that have a measure of less than 90°. If you liked this problem, here is an NRICH task which challenges you to use similar mathematical ideas. On the little ends of the hands there are smaller angles. The minute hand is at 48 minutes. So, 48 - 14 =34 minutes, the angle between the two hands of the clock. At 5 o'clockLet one angle=xSec. Obtuse angles are angles that have a measure of more than 90° but less than 180°. The second hand and the hour hand show an acute angle. The measure of the angle between each number is given by . Therefore, 34 minutes x 6 degrees =204 degrees. The clock hands show a obtuse angle. An Obtuse Angle is just the opposite of an Acute Angle. Angular speed of hour hand is 0.5°/minute. The hour hand is three-fourths of the way from the "4" to the "5; that is, An example of an acute angle is below: Obtuse angles. In the following image, AB and BC intersect to form an angle that is greater than 90° and less than 180°. A clock takes the shape of a circle, which is composed of 360 degrees. The hour hand has moved: 48 / 12 = 4 minutes after 2, which is 14 minutes from 12 O'clock. Angular speed of minute hand is 6 ° / minute. This problem is taken from the UKMT Mathematical Challenges . 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