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ivanzaharov [21]
3 years ago
6

Which figures are polygons?

Mathematics
2 answers:
katen-ka-za [31]3 years ago
7 0

Answer: The correct options are

(1) Figure A.

(2) Figure B.

(3) Figure C.

Step-by-step explanation:  We are given to select the figures that are polygons.

<u>POLYGON :</u>  A polygon is a plane shape with straight sides having number of sides greater than or equal to three.

In Figure 1, there are three straight sides, so it is a polygon with three sides. We call it a TRIANGLE

In Figure 2, There are four straight sides, so it is a polygon with four sides. We call it a QUADRILATERAL.

In Figure 3, there are six straight sides, so it is a polygon with six sides. We call it a HEXAGON.

In Figure 4, there is no straight side, and hence the figure is NOT a polygon.

Thus, the correct Figures are A, B and C.

Options (1), (2) and (3) are correct.

dem82 [27]3 years ago
6 0

Figure a and b are both polygons with three or more sides

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Solve by making an equation.
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Let us assume that the F is the first angle, S is the second and T is the third angle. 

We know that
- F + S + T = 180°
- S = F + 20°
- T = 2S

We can substitute the S and T values into F, In this case, we will say that:
F + F + 20° + 2 (F + 20°) = 180°
2F + 20° + 2F + 40° = 180°
4F + 60° = 180°
4F = 180° - 60°
F = 120 ÷ 4
∴ F = 30°

S = F + 20°
∴ S = 50°

T = 2S
∴ T = 100°

To make sure that we have worked this out correctly, the angles should add up to give us 180°

Therefore, 30° +50° + 100° = 180°

Hope this helped x


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777dan777 [17]
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3 0
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