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Drag each angle measure to the correct location on the image. Each angle measure can be used more than once.

Drag each angle measure to the correct location on the image Each angle measure can be used more than once class=

Respuesta :

Answer:

The solution in the attached figure

[tex]m<A=43\°[/tex]

[tex]m<B=137\°[/tex]

[tex]m<C=43\°[/tex]

[tex]m<D=43\°[/tex]

[tex]m<E=137\°[/tex]

[tex]m<F=137\°[/tex]

[tex]m<G=43\°[/tex]  

Step-by-step explanation:

see the attached figure with letters to better understand the problem

Part 1) Find the measure of angle A

we know that

[tex]m<A+137\°=180\°[/tex] ------> by supplementary angles

so

[tex]m<A=180\°-137\°=43\°[/tex]

Part 2) Find the measure of angle B

we know that

[tex]m<B=137\°[/tex] ------> by vertical angles

Part 3) Find the measure of angle C

we know that

[tex]m<C=m<A[/tex] ------> by vertical angles

so

[tex]m<C=43\°[/tex]

Part 4) Find the measure of angle D

we know that

[tex]m<D=m<A[/tex] ------> by corresponding angles

so

[tex]m<D=43\°[/tex]

Part 5) Find the measure of angle E

we know that

[tex]m<E+m<D=180\°[/tex] ------> by supplementary angles

so

[tex]m<E+43\°=180\°[/tex]

[tex]m<E=180\°-43\°=137\°[/tex]

Part 6) Find the measure of angle F

we know that

[tex]m<F=m<E[/tex] ------> by vertical angles

so

[tex]m<F=137\°[/tex]

Part 6) Find the measure of angle G

we know that

[tex]m<G=m<D[/tex] ------> by vertical angles

so

[tex]m<G=43\°[/tex]

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