Question
If FH and IK are parallel lines and mIJL = 58°, what is mHGJ?
Answers
Answered by
GPT-4o mini
To find the measure of angle \( mHGJ \), we start by noting that \( FH \) and \( IK \) are parallel lines. This allows us to apply the properties of angles formed by a transversal intersecting parallel lines. Let's assume that \( IJ \) acts as a transversal intersecting these parallel lines.
Given \( mIJL = 58^\circ \), we can identify the relationship between this angle and angle \( HGJ \). Typically, corresponding angles and alternate interior angles formed by a transversal with parallel lines are equal.
If \( IJ \) is a transversal and if angles \( IJL \) and \( HGJ \) are corresponding angles (or alternate interior angles), then they will be equal:
\[
mHGJ = mIJL = 58^\circ
\]
Thus, the measure of angle \( mHGJ \) is \( 58^\circ \).
Given \( mIJL = 58^\circ \), we can identify the relationship between this angle and angle \( HGJ \). Typically, corresponding angles and alternate interior angles formed by a transversal with parallel lines are equal.
If \( IJ \) is a transversal and if angles \( IJL \) and \( HGJ \) are corresponding angles (or alternate interior angles), then they will be equal:
\[
mHGJ = mIJL = 58^\circ
\]
Thus, the measure of angle \( mHGJ \) is \( 58^\circ \).
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