the three angles of a quadrilateral are in ratio 4:5:3 . the difference of the least and the greatest angles is 42.find all four angles of a quadrilateral
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Answer:
108°
Step-by-step explanation:
let the common ratio be x.
Therefore the angles of the quadrilateral are 4x , 5x and 3x.
according to the condition,
5x -3x = 42.
Therefore x=21.
so, the angles of quadrilateral are,
4x = 4×21= 84°
5x = 5×21= 105°
3x = 3×21= 63°
Therefore, the 4th angle of the quadrilateral,
=360° - ( 84° + 105° + 63° ).
=108°
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