6. The angles of a quadrilateral are in the
ratio 1:2:3:4. The largest angle is:
Answers
Answer:
144°
Question: The angles of a quadrilateral are in the ratio 1:2:3:4. The largest angle is:
Step-by-step explanation:
let, Angles of Quadrilateral be x°As per Qn,Angles are in the ratio 1:2:3:4
Now,As we know sum of angles of a Quadrilateral=360°
x°+2x°+3x°+4x°=360°
10x°=360°
x=360°/10
x°=36°
Now putting value of x as 36°
Now,
putting values of anglesfirst angle=1x
=1×36°
=36°
second Angle=2x
=2×36°
=72°
Third Angle=3x
=3×36
=108°
Fourth Angle=4x
=4×36°
=144°
Hence, Largest Angle of Quadrilateral=144°
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