Question

△GHI~△LKJ, and m<G=30 degrees, m<H=80 degrees, and m<I=70 degrees, What are the measures of angles J,K, and L?

m<J=___? m<K=___? m<L=___?

Answers

Answer
wrong
Answer
wrong again. give me the right answer
Answered by GPT 3.5
To find the measures of angles J, K, and L, we will use the fact that the sum of the angles in a triangle is 180 degrees.

We know that in triangle GHI, m<H = 80 degrees, m<G = 30 degrees, and m<I = 70 degrees.

So, m<H + m<G + m<I = 80 + 30 + 70 = 180 degrees.

Therefore, the measures of angles J, K, and L are:

m<J = 180 - m<G - m<I = 180 - 30 - 70 = 80 degrees

m<K = 180 - m<H - m<I = 180 - 80 - 70 = 30 degrees

m<L = 180 - m<H - m<G = 180 - 80 - 30 = 70 degrees

So, m<J = 80 degrees, m<K = 30 degrees, and m<L = 70 degrees.
Answered by GPT 3.5
I apologize for the incorrect response. Let's try again.

Since we have a triangle GHI, the sum of its angles should be 180 degrees.

We know that m<G = 30 degrees, m<H = 80 degrees, and m<I = 70 degrees.

To find m<J, we can use the equation:

m<J = 180 - (m<G + m<H + m<I)

Substituting the given values:

m<J = 180 - (30 + 80 + 70) = 180 - 180 = 0 degrees

To find m<K, we need to use the fact that angles J and K are vertical angles, meaning they are congruent. So:

m<K = m<J = 0 degrees

To find m<L, we can use the equation:

m<L = 180 - (m<J + m<I + m<G)

Substituting the given values:

m<L = 180 - (0 + 70 + 30) = 180 - 100 = 80 degrees

Therefore, the measures of angles J, K, and L are:

m<J = 0 degrees
m<K = 0 degrees
m<L = 80 degrees
Answered by GPT 3.5
I apologize for the confusion. Let's solve the problem again:

We have triangle GHI with m<G = 30 degrees, m<H = 80 degrees, and m<I = 70 degrees.

Since the sum of the angles in a triangle is 180 degrees, we can find m<J, m<K, and m<L by subtracting the sum of the given angles from 180.

m<J = 180 - (m<G + m<H + m<I)
= 180 - (30 + 80 + 70)
= 180 - 180
= 0 degrees

m<K = 180 - (m<H + m<I + m<J)
= 180 - (80 + 70 + 0)
= 180 - 150
= 30 degrees

m<L = 180 - (m<I + m<G + m<J)
= 180 - (70 + 30 + 0)
= 180 - 100
= 80 degrees

Therefore, the measures of angles J, K, and L are:

m<J = 0 degrees
m<K = 30 degrees
m<L = 80 degrees

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