6
1 point
Polygon B is a scaled copy of Polygon A. Determine the measure of the angle marked with a ? in Polygon A.
5
B
2.5
A
53°
?
1.5
2.5
?
82°
Type your answer...

6 1 point Polygon B is a scaled copy of Polygon A Determine the measure of the angle marked with a in Polygon A 5 B 25 A 53 15 25 82 Type your answer class=

Respuesta :

Explanation:

The above figures shows scaled copy of a Polygon. Polygon in the sense, means a figure which is closed and made up of straight lines. It can be of n sides where n = 1,2,3,4.....

  • Scaled copies means polygons are similar to each other, it means they are having corresponding angles are equal and corresponding sides are proportional.

So, Polygon A is similar to Polygon B, it means their corresponding angles are equal and corresponding sides are proportional.

Calculation:

According to our above concepts:

[tex] \boxed{ \rm{angle \: 1(A) = angle \: 1(B)}} \\ \boxed{ \rm{angle \: 2(A) = angle \: 2(B)}} \\ .............. \rm{so \: on}[/tex]

  • Corresponding angles are equal, So if we compare the corresponding parts, then ? = 53°(Answer)

Here, we are not asked to find any other side of angle. But lemme show you how to determine the sides. The Corresponding sides are proportional.

[tex] \boxed{ \rm{ \frac{side \: 1(A)}{side \: 1(B)} = \frac{side \: 2(A)}{side \: 2(B)} = \frac{side \: 3(A)}{side \: 3(B)} = ........so \: on}}[/tex]

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