Question

At 5 Ó clock the hands of a clock an obtuse angle and a reflex angle.Find the measure of each anglePlease give explanation​

Answer 1

Answer:

Clock is a whole circle nd we know that

measure of a whole circle = 360" and measure of half circle=180°

so half circle of a clock is 6 o'clock

and between the two numbers 5 and 6 there

are 5 small dots or minutes in a clock.. let us consider each small dot or minute =1⁰

so 5 dots =5°

so if 60 clock = 180° and there are 5 small dots between 5 and 6 which = 1° then

5o clock = (180-5)*

= 175°

As we know that 5 o clock which is more than 90° but less than 180" is an obtuse angle and the other angle forming is a reflex angle whose measure will be more than 180° but less than 360°

So the reflex angle = (360-175)

= 185°

Hence the measure of the obtuse angle is 175" and the reflex angle formed on a clock showing 5oclock is 185* respectively

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