three angles of a quadrilateral are equal if the fourth angle is 120° find the magnitude of each of the equal angles
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Answered by
16
Let the equal angle =x
Fourth angle=120
we know that Sum of internal angles of a quad =360
hence,,,x+x+x+120=360
3x=360-120
3x=240
x=240/3=80 hence all other three angles are 80 degree
Fourth angle=120
we know that Sum of internal angles of a quad =360
hence,,,x+x+x+120=360
3x=360-120
3x=240
x=240/3=80 hence all other three angles are 80 degree
Answered by
10
Hi there USER!!!!
Here is your answer....
Let the 3 equal angles of the quadrilateral be x
Now, according to the angle sum property of quadrilateral the sum of all the interior angles of a quadrilateral is 360°.
ATQ,
x + x + x + 120° = 360°
3x = 360°-120°
3x = 240°
x = 240°/3
x = 80°
So the other three angles are of 80° .
Hope this helped you : )
Here is your answer....
Let the 3 equal angles of the quadrilateral be x
Now, according to the angle sum property of quadrilateral the sum of all the interior angles of a quadrilateral is 360°.
ATQ,
x + x + x + 120° = 360°
3x = 360°-120°
3x = 240°
x = 240°/3
x = 80°
So the other three angles are of 80° .
Hope this helped you : )
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