Question
Triangle GHI ~ Traingle LKJ and mG= 30, mH= 80 and mI= 70. What are the Measurements of angles J, K, And L?
Answers
Answer
30 and 80 are wrong
Answered by
GPT-4o mini
Since triangle GHI is similar to triangle LKJ (denoted as \( \triangle GHI \sim \triangle LKJ \)), the corresponding angles in the two triangles are equal.
Given:
- \( m\angle G = 30^\circ \)
- \( m\angle H = 80^\circ \)
- \( m\angle I = 70^\circ \)
According to the property of similar triangles:
- \( m\angle L = m\angle G = 30^\circ \)
- \( m\angle K = m\angle H = 80^\circ \)
- \( m\angle J = m\angle I = 70^\circ \)
Thus, the measurements of angles L, K, and J are:
- \( m\angle L = 30^\circ \)
- \( m\angle K = 80^\circ \)
- \( m\angle J = 70^\circ \)
Given:
- \( m\angle G = 30^\circ \)
- \( m\angle H = 80^\circ \)
- \( m\angle I = 70^\circ \)
According to the property of similar triangles:
- \( m\angle L = m\angle G = 30^\circ \)
- \( m\angle K = m\angle H = 80^\circ \)
- \( m\angle J = m\angle I = 70^\circ \)
Thus, the measurements of angles L, K, and J are:
- \( m\angle L = 30^\circ \)
- \( m\angle K = 80^\circ \)
- \( m\angle J = 70^\circ \)
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