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The hands form a right angle. At 3 o'clock, the minute hand points straight up, and the hour hand points straight to the right.

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Q: What type of angle would be formed by a clock's hands when it is 3?
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What type of angle would be formed by a clocks hand when it is 9?

45 degree


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45 degrees.


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At 12:30 the hour hand would be halfway between 12 and 1. So on the right hand side there would be an obtuse angle (165 degreees) whereas on the left there would be a reflex angle (195 degrees).


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What is the angle formed by the hands of a clock at 1021?

I like your question. The hour hand is 10/60 from vertical, which reduces to 1/6. Converting to degrees (there are 360 degrees in a circle), would mean 1/6 of 360, resulting in 60. 21 minutes from vertical is 21/60, but since degrees are 6 times more than minutes, the product of 21 and 6 is 126. The clockwise angle is therefore 60 + 126 = 186. Since 186 is larger the a straight line, one might also answer that the angle formed on the Southwest side of the two hands is 174 (360 - 186). There are two angles formed by the hands in the circle.


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What is an angle that is formed on the outside of a polygon by extending one side?

The size of the angle would depend on the shape and number of sides the polygon has. It is called the exterior angle.