Math, asked by bhavanilaxmi, 7 months ago

If the interior angles of a quadrilateral are in the ratio
6:5:4:3 , then find each angle of the quadrilateral

Answers

Answered by adhyayan56
4

Step-by-step explanation:

Let all angles of quadrilateral be 6x ,5x, 4x, 3x.

we know that sum of all angles of quadrilateral = 360°

now,

(6x+5x+4x+3x)° = 360°

→18x°=360°

→x ^{0}  =  \frac{360}{18} ^{0}

→x=20

Ist side = 6×20

= 120°

2nd side = 5×20

=100°

3rd side = 4×20

= 80°

4th side = 3×20

= 60°

Answered by mahatokanchan915
1

Answer:

than the your answer

Step-by-step explanation:

Let all angles of quadrilateral be 6x ,5x, 4x, 3x.

we know that sum of all angles of quadrilateral = 360°

now,

(6x+5x+4x+3x)° = 360°

→18x°=360°

→x ^{0} = \frac{360}{18} ^{0}→x

0

=

18

360

0

→x=20

Ist side = 6×20

= 120°

2nd side = 5×20

=100°

3rd side = 4×20

= 80°

4th side = 3×20

= 60°

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