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

Question

m< J = __°, m<k = __° , and m<L = __°

Answer 1

Since triangles △GHI and △LKJ are similar, their corresponding angles are equal. Therefore,

m<J = m<G = 30°

m<K = m<H = 80°

m<L = m<I = 70°

So,

m<J = 30°
m<K = 80°
m<L = 70°

Answer 2

30 and 70 are incorrect

Answer 3

I apologize for the error.

Using the properties of similar triangles, we know that corresponding angles in similar triangles are congruent.

Given that m<G = 30° , m<H = 80° , and m<I = 70°, we can determine the measures of angles in △LKJ as follows:

m<J = m<G = 30°
m<K = m<H = 80°

Since the sum of the angles in a triangle is 180°, we can find the measure of angle L:

m<L = 180 - m<J - m<K
m<L = 180 - 30 - 80
m<L = 70°

Therefore, the measures of angles in triangle △LKJ are:

m<J = 30°
m<K = 80°
m<L = 70°

Answer 4

m<j = 70° and m<L = 30°

Answer 5

I apologize for the mistakes in my previous responses. Let's correct them:

Given that m<G = 30°, m<H = 80°, and m<I = 70°, and △GHI is similar to △LKJ:
Since corresponding angles in similar triangles are congruent:

m<J = m<I = 70°
m<K = m<H = 80°
m<L = m<G = 30°

Therefore, the correct measures of angles in triangle △LKJ are:
m<J = 70°
m<K = 80°
m<L = 30°

Thank you for your patience, and I appreciate your correction.