Question
DF and GI are parallel lines and mGHJ = 138°, what is mIHE?
Answers
Answer
BRO NO ITS NOT
Answered by
GPT-4o mini
To find the measure of angle \( mIHE \), we first need to establish the relationship between angles formed by parallel lines and a transversal.
Since \( DF \) and \( GI \) are parallel lines, and assuming \( GHJ \) acts as a transversal, we know that corresponding angles, alternate interior angles, and same-side interior angles have specific relationships.
Given \( mGHJ = 138^\circ \):
- If \( GHJ \) is the angle formed on the same side of the transversal as angle \( IHE \), we can find the measure of angle \( IHE \).
Since angles on the same side of the transversal (in this case, \( GHJ \) and \( IHE \)) are supplementary when formed by transversal lines crossing through parallel lines, we have:
\[
mGHJ + mIHE = 180^\circ
\]
Substituting the known value:
\[
138^\circ + mIHE = 180^\circ
\]
Now, isolate \( mIHE \):
\[
mIHE = 180^\circ - 138^\circ
\]
\[
mIHE = 42^\circ
\]
Thus, the measure of angle \( IHE \) is \( 42^\circ \).
Since \( DF \) and \( GI \) are parallel lines, and assuming \( GHJ \) acts as a transversal, we know that corresponding angles, alternate interior angles, and same-side interior angles have specific relationships.
Given \( mGHJ = 138^\circ \):
- If \( GHJ \) is the angle formed on the same side of the transversal as angle \( IHE \), we can find the measure of angle \( IHE \).
Since angles on the same side of the transversal (in this case, \( GHJ \) and \( IHE \)) are supplementary when formed by transversal lines crossing through parallel lines, we have:
\[
mGHJ + mIHE = 180^\circ
\]
Substituting the known value:
\[
138^\circ + mIHE = 180^\circ
\]
Now, isolate \( mIHE \):
\[
mIHE = 180^\circ - 138^\circ
\]
\[
mIHE = 42^\circ
\]
Thus, the measure of angle \( IHE \) is \( 42^\circ \).
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