Question

In triangle ABC, AB BC =AC, find < A. 41. The angles of a quadrilateral are in the ratio 3: 5 :9: 13. Find all the angles of the quadrilateral.​

Answer 1

Step-by-step explanation:

Let the angles of the quadrilateral be 3x, 5x, 9x and 13x.

∵ Sum of all the angles of quadrilateral = 360°

∴ 3x + 5x + 9x + 13x = 360°

⇒ 30x = 360°

X = 12°

∴ 3x = 3 × 12° = 36°

5x = 5 × 12°= 60°

9x = 9 × 12° = 108°

13x = 13 × 12° = 156°

Hope this helps

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