Math, asked by 9635, 5 months ago

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

Answers

Answered by vasu870
1

Answer:

x = 12 angles are 36,60,108,156 these are the four answer if you like my on like and mein marquess billion

Answered by Anonymous
0
AnSwer -:

_______________________________

LA = 36 degree

LB = 60 degree

LC = 96 degree

LD = 156 degree

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Given ,

The angles of quadrilateral are given in

ratio -: 3:5:9:13

To find,

All angles of the quadrilateral

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Let the four angles of the sides are -:

3x , 5x , 9x and 13 x

We know that ,

Sum of angles of the quadrilateral-:

360 degree

LA + LB + LC + LD = 360 degree

LA = 3x

LB = 5x

LC = 9x

L D = 13 x

3x + 5x + 9x + 13 x = 360 degree

8 x + 22x = 360 degree

30 x = 360 degree

X = 360/30

X = 12

L A = 3x = 3 x 12 = 36 degree

LB = 5x = 5 x 12 = 60 degree

LC = 8x = 8 x 12 = 96 degree

LD = 13 x = 13 x 12 = 156 degree

_______________________________

LA = 36 degree

LB = 60 degree

LC = 96 degree

LD = 156 degree

_______________________________

Quadrilateral-:

A quadrilateral is a plane figure that has

four sides or edges, and also have four

corners or vertices.

Example-: Square, Rectangle etc.

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