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=___?
m<J=___? m<K=___? m<L=___?
Answers
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.
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.
wrong
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
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
wrong again. give me the right answer
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
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