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Explanation:
Let a = 3x
b = 5x
c = 9x
d = 13x
we know that,
sum of angles of quadrilateral is 360°
a + b + c + d = 360° [angle sum property of quadrilateral]
3x + 5x + 9x + 13x = 360°
30x = 360°
x = 360/30
x = 12
Hence , the angles are
a = 3x
3 × 12 = 36°
b = 5x
5 × 12 = 60°
c = 9x
9×12 = 108°
d = 13x
13 × 12 = 156 °
Answered by
3
Answer:
Let the angles of quadrilateral be 3x, 5x, 9x and 13x
let name the angles :
a = 3x ; b = 5x ; c = 9x and d = 13x
sum of all angles of a quadrilateral
= 360° [ property of quadrilateral ]
3x + 5x + 9x + 13x = 360°
30x = 360°
x = 360°/30
x = 12°
then, angle a = 3x = 3 × 12 = 36°
b = 5x = 5 × 12 = 60°
c = 9x = 9 × 12 = 108°
d = 13x = 13 × 12 = 156°
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