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A regular 8-sided polygon and a regular 10-sided polygon share a single side, as shown below. Calculate the size of the angle marked b. Give your answer in degrees (°). ​

LOOK AT IMAGEA regular 8sided polygon and a regular 10sided polygon share a single side as shown below Calculate the size of the angle marked b Give your answer class=

Respuesta :

Medunno13

Answer: 9

Step-by-step explanation:

The interior angle of the 8-sided polygon is

[tex]\frac{180(8-2)}{8}=135^{\circ}[/tex]

The interior angle of the 10-sided polygon is

[tex]\frac{180(10-2)}{10}=144^{\circ}[/tex]

Taking the difference, we get [tex]b=9^{\circ}[/tex]

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