Question

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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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Answer 1

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°.