Question

6. Four angles of a quadrilateral are in the ratio 2:3:5:8. Find each angle.
7. Find the measure of each angle of a quadrilateral if all its angles are of the same measure. What
quadrilateral is it?​

Answer 1

Step-by-step explanation:

Let the 4 angles be 2x 3x 5x and 8x

..

we know that all the angles of a quadrilateral = 240° = 2x + 3x + 5x + 8x

240= 18x

x = 13.33

Answer 2

Answer:

6.

let, Ist angle=2x

2nd angle=3x

3rd angle=5x

4th angle=8x

sum of angles of quad.=360 degree

therefore,

2x+3x+5x+8x=360 degree

18x=360 degree

x=360/18

x=20 degree

so,

1st angle=2x=2×20=40degree

2nd angle=3x=3×20=60degree

3rd angle=5x=5×20=100degree

4th angle=8x=8×20=160degree

7.

let measure of each equal angle=x

sum of angles of quad. =360 degree

therefore,

x+x+x+x=360

4x=360

x=360/4

x=90 degree

measure of each angle=x=90 degree

so the quad. is rectangle and square..

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