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svet-max [94.6K]
3 years ago
13

Angle. How many sides does the polygon have?

Mathematics
1 answer:
tia_tia [17]3 years ago
5 0

The measures of the four angles of quadrilateral ABCD are 36°, 72°, 108° and 144°

<u>Explanation:</u>

A polygon has three or more sides.

Example:

Triangle has 3 sides

Square has 4 sides

Pentagon has 5 sides and so on.

27)

In a quadrilateral ABCD, the measure of ZA, ZB, ZC and ZD are the ratio 1 : 2 : 3 : 4

We know,

sum of all the interior angles of a quadrilateral is 360°

So,

x + 2x + 3x + 4x = 360°

10x = 360°

x = 36°

Thus, the measure of four angles would be:

x = 36°

2x = 2 X 36° = 72°

3x = 3 X 36° = 108°

4x = 4 X 36° = 144°

Therefore, the measures of the four angles of quadrilateral ABCD are 36°, 72°, 108° and 144°

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