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In this figure a || b Find the measure of each angle using either of the given angle measures. Identify the reason for each answer
∠1
∠2
∠3
∠4
∠5
∠6

In this figure a b Find the measure of each angle using either of the given angle measures Identify the reason for each answer 1 2 3 4 5 6 class=

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Answer:

[tex]m<1=99\°[/tex]

[tex]m<2=81\°[/tex]

[tex]m<3=86\°[/tex]

[tex]m<4=86\°[/tex]

[tex]m<5=86\°[/tex]

[tex]m<6=94\°[/tex]

Step-by-step explanation:

Part 1) Find the measure of angle 1

we know that

[tex]m<1+81\°=180\°[/tex] -----> by supplementary angles

[tex]m<1=180\°-81\°=99\°[/tex]

Part 2) Find the measure of angle 2

we know that

[tex]m<2=81\°[/tex] -----> by alternate exterior angles

Part 3) Find the measure of angle 3

we know that

[tex]m<3=86\°[/tex] -----> by vertical angles

Part 4) Find the measure of angle 4

we know that

[tex]m<4=86\°[/tex] ------> by corresponding angles

Part 5) Find the measure of angle 5

we know that

[tex]m<5=m<4[/tex] -----> by vertical angles

so

[tex]m<5=86\°[/tex]

Part 6) Find the measure of angle 6

we know that

[tex]m<5+m<6=180\°[/tex] -----> by supplementary angles

we have

[tex]m<5=86\°[/tex]

substitute

[tex]86\°+m<6=180\°[/tex]

[tex]m<6=180\°-86\°=94\°[/tex]

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