Four angles of a quadrilateral are in the ratio 3 : 4 : 5 : 6. Find its angles.
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Step-by-step explanation:
Four angles of a quadrilateral are in the ratio 3 : 4 : 5 : 6.
so,
sum of the angle=360°
since these angles are in ratio 3:4:5:6
Degree measure of the angles are in 3k,4k,5k,6k, where k is constant.
3k+4k+5k+6k=360°
18k=360°
k=360/18
k=20°
3k=3×20
=60°
4k=80°
5k=100°
6k=120°
hence proved
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