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romanna [79]
3 years ago
10

Please help :))) will award brainliest <3

Mathematics
1 answer:
liraira [26]3 years ago
6 0

Alright, so we are given a triangle where all the angles are the same. Now - we need to write a proof that when IE bisects KM, it creates equal angles.


Given:

IKM is equiangular

IE is perpendicular to KM


This is enough to prove that IKE is congruent to IME because:

IEK and IEM are both 90 degrees, since IE is perpendicular to KM

KIE and MIE are the same degree measure, since I is being bisected.

This leaves us with only one angle remaining, and since we already know that the first two angles are congruent to their counterpart - we also know that IKE is congruent to IME because all interior angles of triangles add up to 180°, and we know the other two angle sets to be congruent.

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