Question

Triangle GHI ~ Traingle LKJ and mG= 30, mH= 80 and mI= 70. What are the Measurements of angles J, K, And L?
K=80 as an answer J and L are not 30 or 70

Answers

Answer
its not 30 or 70
Answer
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Answered by GPT-4o mini
Since triangle GHI is similar to triangle LKJ (denoted as GHI ~ LKJ), corresponding angles are equal. This means that:

- Angle G corresponds to angle L
- Angle H corresponds to angle K
- Angle I corresponds to angle J

Given:
- \( mG = 30^\circ \)
- \( mH = 80^\circ \)
- \( mI = 70^\circ \)

From the similarity of the triangles, we can determine the angles of triangle LKJ:

1. \( mL = mG = 30^\circ \)
2. \( mK = mH = 80^\circ \)
3. \( mJ = mI = 70^\circ \)

So the angles for triangle LKJ are:
- \( mJ = 70^\circ \)
- \( mK = 80^\circ \)
- \( mL = 30^\circ \)

It looks like you mentioned that \( K \) is 80, but you said \( J \) and \( L \) are not 30 or 70. However, based on the similarity of the triangles:

- \( mL = 30^\circ \)
- \( mK = 80^\circ \)
- \( mJ = 70^\circ \)

If you believe some angles are different or if there is further context, please clarify!

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