Write the fourth angles of a quadrilateral that has three acute angles.
Answers
Answered by
0
Such quadilateral cannot be made
Aishwarya1110:
Why
Answered by
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 !!
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 !!
Similar questions