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A quadrilateral has all its four angles of the same measure. What is the measure of each?

• Solution

• Transcript

We know that Sum of angles of a quadrilateral is = 360°

Let each angle be x°

So,

x°+ x° + x° + x° = 360° x° = 360° /4

= 90°

∴ Value of angle is 90° each.

"hello kids welcome to lido homework my name is hema and i'm a little tutor let's start with the question the question is a quadrilateral has a all its four angles of a same measure what is a measure of each okay before we solve this we have to understand a very important property related to coordinator that is we know that sum of angles of correlation is 360 which means if we add all the four angle that will be equal to 360. now let's assume that each angle be equal to x so let each angle be x okay now let's do this now when we add all the four angles that is x plus x plus x plus x it should be equal to 360. so we adding 4 x here so it will be equal to 4 x equal to 360 now isolate the x here we'll get x is equal to 360 upon four okay we can cancel 360 and four so this will be four ones are and four nineties are 360. therefore x value will be equal to 90 degree so we can conclude from here that therefore value of each angle is 90 degree i hope you have understood how we have done this one it was quite simple we applied that sum of all angles in a call naturalist 360. so that's it if you have any query leave a comment below and subscribe to this channel for more videos thank you so much for watching "

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