A quadrilateral has a total of 360 degrees. If the angles are in the ratio 2:5:4:1, we first add up the parts of the ratio: 2 + 5 + 4 + 1 = 12.

Next, we find out what each part of the ratio represents in degrees: 360 degrees / 12 = 30 degrees.

Finally, we multiply each part of the ratio by 30 degrees to find out the size of each angle:

- The first angle is 2 * 30 = 60 degrees.
- The second angle is 5 * 30 = 150 degrees.
- The third angle is 4 * 30 = 120 degrees.
- The fourth angle is 1 * 30 = 30 degrees.

So, the angles of the quadrilateral are 60 degrees, 150 degrees, 120 degrees, and 30 degrees.

Question

A quadrilateral has a total of 360 degrees. If the angles are in the ratio 2:5:4:1, we first add up the parts of the ratio: 2 + 5 + 4 + 1 = 12.

Next, we find out what each part of the ratio represents in degrees: 360 degrees / 12 = 30 degrees.

Finally, we multiply each part of the ratio by 30 degrees to find out the size of each angle:

- The first angle is 2 * 30 = 60 degrees.
- The second angle is 5 * 30 = 150 degrees.
- The third angle is 4 * 30 = 120 degrees.
- The fourth angle is 1 * 30 = 30 degrees.

So, the angles of the quadrilateral are 60 degrees, 150 degrees, 120 degrees, and 30 degrees.

Knowee AI · Accepted Answer

A quadrilateral has a total of 360 degrees. If the angles are in the ratio 2:5:4:1, we first add up the parts of the ratio: 2 + 5 + 4 + 1 = 12.

Next, we find out what each part of the ratio represents in degrees: 360 degrees / 12 = 30 degrees.

Finally, we multiply each part of the ratio by 30 degrees to find out the size of each angle:

- The first angle is 2 * 30 = 60 degrees.
- The second angle is 5 * 30 = 150 degrees.
- The third angle is 4 * 30 = 120 degrees.
- The fourth angle is 1 * 30 = 30 degrees.

So, the angles of the quadrilateral are 60 degrees, 150 degrees, 120 degrees, and 30 degrees.

alculate all the angles of a quadrilateral if they are in the ratio 2:5:4:1

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