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Answer :

Answer:[tex]313^{\circ}[/tex]

Step-by-step explanation:

Given

[tex]\angle {EFG}=133^{\circ }[/tex]

When rotated 180 degree clockwise gives E'F'G' which measures

[tex]\angle E'F'G'=180^{\circ}+133^{\circ}=313^{\circ}[/tex]

This can be explained by the below-given digram  

View image Nuuk
MrRoyalgo

Rotation is a rigid transformation.

The measure of angle E'F'G' is 133 degrees

Because rotation is a rigid transformation, it does not change the side lengths and the angle measures.

This means that the measure of angle EFG will remain unchanged after rotation.

i.e.

[tex]\mathbf{\angle E'F'G' = \angle EFG}[/tex]

Hence, the measure of angle E'F'G' is 133 degrees

Read more about rotation at:

https://brainly.com/question/1571997

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