We are given
![\triangle ABC \cong \triangle EFG](https://img.qammunity.org/2021/formulas/mathematics/college/d38uqg72vmg0h75wif49iw9htin271qq0l.png)
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.