The angles of a quadrilateral are in the ratio 3 : 5 : 9 : 13. Find all the
angles of the quadrilateral.
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The angles of a quadrilateral are in the ratio 3 : 5 : 9 : 13. Find all the
angles of the quadrilateral.
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Answer:
The angles of the given quadrilateral are
The angles of the given quadrilateral are 36°,60°,108°,156°
Step-by-step explanation:
Given:-
The angles of a quadrilateral are in the ratio
3 : 5 : 9 : 13.
To find:-
Find all the angles of the quadrilateral.
Solution:-
The ratio of angles of a quadrilateral=3:5:9:13
Let they be 3x,5x,9x and 13x
We know that
The sum of all interior angles of a quadrilateral is 360°
=>3x+5x+9x+13x=360°
=>30x=360°
=>x=360°/30
=>x=12°
=>3x=3(12)=36°
=>5x=5(12)=60°
=>9x=9(12)=108°
=>13x=13(12)=156°
Answer:-
The angles of the given quadrilateral are
36°,60°,108°,156°
Answer:
3:5:9:13
⇒3x+5x+9x+13x
=360
50x=360
x=12
angle = 36
∘
60
∘
108
∘
156
∘
Step-by-step explanation:
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