Math, asked by Aishwarya1110, 1 year ago

Write the fourth angles of a quadrilateral that has three acute angles.

Answers

Answered by MidhunMohan
0
Such quadilateral cannot be made

Aishwarya1110: Why
Answered by Incredible29
2
Heya user
Here is your answer !!

If in a quadrilateral , there are three acute angles , the fourth angle will definitely be an obtuse angle .

Lets see the proof :

Sum of the four angles of a quadrilateral = 360 degree .
So , 3 acute angles mean x degree < 90 degree .
Now , sum of these three angles will be 3x degree < 270 degrees .

So the fourth angle will be = 90 + (270-3x) .
Since its greater than 90 degree , it will be an obtuse angle .

hope it helps !!
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