Question

the four angles of a quadrilateral are in the ratio 3:5:7:9 . find the angles....
pls give an explanation....​

Answer 1

Answer:

45, 75, 105, 135

Step-by-step explanation:

The angles of a quadrilateral are always at a sum of 360 degrees. Therefore, 3x+5x+7x=9x=360

24x=360

x=360/24=15

3x, 5x, 7x, and 9x will be your answer.

Answer 2

Explanation:

The sum of all angles of a quadrilateral is 360°. This is because a quadrilateral can be divided into two triangles. The angles of a triangle sum upto 180°. Thus, sum of angles of two triangles is 360°.

Question:

The four angles of a quadrilateral are in the ratio 3:5:7:9. Find the angles.

Solution:

Let, the angles be 3x, 5x, 7x and 9x.

So, 3x+5x+7x+9x = 360°

》24x = 360°

》x = 360/24

》x = 15

The angles are,

3x = 3×15 = 45°

5x = 5×15 = 75°

7x = 7×15 = 105°

9x = 9×15 = 135°

Hence, the angles are 45°, 75°, 105° and 135°.