Question

the ratio of angles of quadrilateral are 2:5:7:6. Find the smallest angle of quadrilateral​

Answer 1

Answer:

If the ratio of angles of a quadrilateral is 2:5:7:6., then the smallest angle of the quadrilateral​ is 36°.

Step-by-step explanation:

If the common multiple is x

then the angles of a quadrilateral are 2x, 5x, 7x and 6x.

We know that sum of angles of a quadrilateral is 360°.

2x + 5x + 7x + 6x = 360°

(2 + 5 + 7 + 6)x =360°

20x = 360°

x = 360°/20

x = 18

So, angles are 36°, 90°, 126° and 108°.

Hence the smallest angle of the quadrilateral is 36°.

Answer 2

Answer:

The smallest angle of the quadrilateral will be 36°

Step-by-step explanation:

Here the ratio of angles of a quadrilateral are given to be 2:5:7:6

Let the angle be 2x, 5x, 7x, and 6x

We know that the sum of angles in a quadrilateral is 360°

2x + 5x + 7x + 6x = 360

                     20x = 360

                          x = 360/20

                          x = 18

smallest angle = 2x

                        = 2 × 18

                        = 36