The angles of quadrilateral are in …

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The angles of quadrilateral are in the ratio 3 : 5 : 9 : 13. Find all the angles of the quadrilateral

Posted by Dipasha Ranawat 3 years, 7 months ago

CBSE > Class 09 > Mathematics

4 answers

Himanshu Raj 3 years, 7 months ago

Let the four angles of the quadrilateral be 3x, 5x, 9x and 13x. 3x+5x+9x+13x=360° [sum of all angles of the quadrilateral is 360°] 30x=360° x=12° Hence, the angles of the quadrilateral are 3×12°=36° ,5×12°=60° ,9×12°=108° and 13×12°=156°

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Kapil Lalwani 3 years, 7 months ago

Let the four angles of the quadrilateral be 3x, 5x, 9x and 13x 3x+5x+9x+13x=360 ∘ [sum of all angles of the quadrilateral is 360 ∘ ] 30x=360 ∘ x=12 ∘ Hence, the angles of the quadrilateral are 3×12 ∘ =36 ∘ ,5×12 ∘ =60 ∘ ,9×12 ∘ =108 ∘ and13×12 ∘ =156 ∘

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Shazia Sk 3 years, 7 months ago

3x+5x+9x+13x=360° 30x=360° x=360÷30= 12 Now, to find the angles, let's put the value of x 3x= 3×12= 36 5x= 5×12= 60 9x= 9×12= 108 13x= 13×12= 156 Hence, the 4 required angles of the quadrilateral are: 36, 60, 108 and 156 Hope this helps you.

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Naitik Sati 3 years, 7 months ago

Let the angle of quadrilateral be x Therefore, angle A=3x, angle B=5x, angle C=9x, angle D=13x angle A +angle B +angle C +angle D=360° Therefore, 3x + 5x + 9x +13x= 360° 30x=360° x=360/30 x=12 Therefore ,angle, A =36, B=60, C =108, D=156

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