Question

Find the unknown sizes of angles of the following polygons.




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Answer 1

given,

the polygon has 4 sides so it is a quadrilateral

angle 1 = 70°

angle 2 = 20°

angle 3 = 25°, find x°

angle 4 = y°

we know that in a quadrilateral the sum of interior angles = 360°

so, angle :

1 + 2 + 3 + 4 = 360

70° + 20° + 25° + y° = 360°

115° + y° = 360°

y = 360° - 115°, y = 245°

since we know angle 4,

angle 4 + x = 360° (as it forms a circle and the central angle of a circle is 360°)

y + x = 360°

245° + x = 360°

x = 360° - 245°

x = 115°

hope it helps

have a great day

Answer 2

Answer:

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