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Three angles of a quadrilateral are in the ratio 4: 5:6, and the fourth angle is 150°. The
largest of the three angles is
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Step-by-step explanation:
Let the unknown angles be 4x , 5x and 6x.
By angle sum property,
4x + 5x + 6x + 150° = 360°
15x = 360° - 150°
15x = 210°
x = 210° / 15
x = 14
Now the angles,
4x = 4×14 = 56°
5x = 5×14 = 70°
6x = 6×14 = 84°
The largest angles is 84°.
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