kamaladevishrma kamaladevishrma
  • 20-01-2024
  • Mathematics
contestada

find the unknown sides of angles of the following polygons
[tex]105 + 60 + 100 + x[/tex]
​

Respuesta :

Meherpuya
Meherpuya Meherpuya
  • 20-01-2024

Answer:

To find the unknown angle \( x \) in the polygon with angles 105, 60, 100, and \( x \), you can use the fact that the sum of interior angles in any polygon is given by \((n-2) \times 180^\circ\), where \( n \) is the number of sides.

For this polygon, with 4 sides, the sum is \( (4-2) \times 180^\circ = 360^\circ \).

Now, subtract the given angles from the total sum:

\[ 360^\circ - (105^\circ + 60^\circ + 100^\circ) = x \]

Calculate \( x \) to find the unknown angle.

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