Question

What is m∠AEB?



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Answer 1

3x+40 because it’s the same on the oppossite side

Answer 2

115°

Explanation:

In this case, we have two angles defined by an expression. It's important to know that m∠AEB and m∠DEC are congruent, because they are opposite by the vertex angles, which are always equal. So, we only have to equalize these angles each other.

`(5x-10)\°=(3x+40)\°\\5x-3x=40+10\\2x=50\\x=(50)/(2) =25`

Now, we replace this value in whatever expression, because they are the same.

`5x-10=5(25)-10=125-10=115`

Therefore, the angle is 115°