The angal of quadrilateral are in the ratio 3:5:9:13 find all the angles of the quadrilateral
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Answered by
2
Answer:
Step-by-step explanation:
3x + 5x + 9x + 13x = 360
= 30x = 360
x = 360/30
x = 12
First angle = 3 × 12 = 36°
Second angle = 5 × 12 = 60°
Third angle = 9 × 12 = 108°
Fourth angle = 13 × 12 = 156°
Answered by
1
Answer:
36° , 60° , 108° , 156°
Step-by-step explanation:
Let the angles of quadrilateral be 3x, 5x, 9x, 13x.
Sum of all interior angles of a quadrilateral is 360°,
3x + 5x + 9x + 13x = 360°
30x = 360°
x = 360 / 30
x = 12
Hence,
3x = 3 × 12 = 36°
5x = 5 × 12 = 60°
9x = 9 × 12 = 108°
13x = 13 × 12 = 156°
Therefore, all angles of the quadrilateral are 36 °,
60°, 108°, 156°.
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