The angles of a quadrilateral are in the ratio 4:5:5:6 . Find the measure of each angle
Answers
Ques:the angles of a quadrilateral are in the ratio 4:5:6:9 find the sum of smallest and greatest angle.
Solution:
ratio of angles= 4:5:6:9
since,the sum of all 4 angles of a quadrilateral is 360.
hence, 4:5:6:8=360
sum of smallest angles= 4x+5x
sum of the greatest angles=6x+9x
4x+5x+6x+9x=360
24x=360
x=15
_______________________
sum of smallest angles= 4x+5x
=4(15)+5(15)
=135
_______________________
sum of the greatest angles=6x+9x
=6(15)+9(15)
=225
Answer:
let the angles be 4x, 5x, 5x and 6x
a/q
4x+5x+5x+6x=360°(angle sum property)
20x=360°
x=360/20=18
therefore angles are 4×18=72, 5×18=90, 5×18=90, 6×18=108
Step-by-step explanation:
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