Answer: Choice A) x = 45 degrees
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Explanation:
We're given △ABC≅△EFG
The order of the letters is important. This is because we have these pairings:
- A pairs with E (first letters)
- B pairs with F (second letters)
- C pairs with G (third letters)
Because of these pairings, and because of the triangles are congruent, we then can say
- angle A = angle E = 50
- angle B = angle F = x
- angle C = angle G = 85
Then recall that for any triangle, the three inside angles add to 180
A+B+C = 180
50+x+85 = 180
x+135 = 180
x = 180-135
x = 45
You chose the correct answer.
