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The measure of < A is 45 degree

The measure of < A is 45 degree-example-1
User Allen Rice
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We are given
\triangle ABC \cong \triangle EFG

The order of the letter sequence is important. The letters pair up based on how they are arranged. We see that A and E are the first letters of the sequences. So this means that angles A and E are the same measure

angle A = angle E

3x+20 = 5x-80

3x-5x = -80-20

-2x = -100

x = -100/(-2)

x = 50

Use this x value to find the measure of angle A

angle A = 3x+20

angle A = 3(50)+20

angle A = 150+20

angle A = 170 degrees

Therefore, the statement "the measure of angle A is 45 degrees" is false.

User Huntar
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