Question

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

Answer 1

Answer:

The solution in the attached figure

$m<A=43\°$

$m<B=137\°$

$m<C=43\°$

$m<D=43\°$

$m<E=137\°$

$m<F=137\°$

$m<G=43\°$  

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

$m<A+137\°=180\°$ ------> by supplementary angles

so

$m<A=180\°-137\°=43\°$

Part 2) Find the measure of angle B

we know that

$m<B=137\°$ ------> by vertical angles

Part 3) Find the measure of angle C

we know that

$m<C=m<A$ ------> by vertical angles

so

$m<C=43\°$

Part 4) Find the measure of angle D

we know that

$m<D=m<A$ ------> by corresponding angles

so

$m<D=43\°$

Part 5) Find the measure of angle E

we know that

$m<E+m<D=180\°$ ------> by supplementary angles

so

$m<E+43\°=180\°$

$m<E=180\°-43\°=137\°$

Part 6) Find the measure of angle F

we know that

$m<F=m<E$ ------> by vertical angles

so

$m<F=137\°$

Part 6) Find the measure of angle G

we know that

$m<G=m<D$ ------> by vertical angles

so

$m<G=43\°$