The angles of a quadrilateral are in the ratio 4ratio 3ratio 2ratio 6 ratio. Find the measure of each angle
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2
Answer:
Given the angles of a quadrilateral are in the ratio 3:4:5:6
Let the angles of quadrilateral be 3x,4x,5x, and 6x
We know that the sum of all angles of a quadrilateral is 360
o
∴3x+4x+5x+6x=360
o
18x=360
0
x=360
0
/18
x=20
0
Hence, the angles are:
3x=3×20
0
=60
0
4x=4×20
0
=80
0
5x=5×20
0
=100
0
6x=6×20
0
=120
0
Hence,the largest angle is 120
0
Answered by
2
Answer:
Let the angles of quadrilateral be 3x,4x,5x, and 6x
We know that the sum of all angles of a quadrilateral is 360°
∴3x+4x+5x+6x=360°
18x=360°
x=360° /18
x=20°
Hence, the angles are:
3x=3×20°
=60°
4x=4×20°
=80°
5x=5×20°
=100°
6x=6×20°
=120°
Hence,the largest angle is 120°
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