△GHI∼△LKJ

Question

, and m∠G=30°
, m∠H=80°
, and m∠I=70°
. What are the measures of angles J, K, and L?(2 points)
m∠J =

°
, m∠K =

°
, and m∠L =

°

Answer 1

Given that △GHI is similar to △LKJ (denoted as △GHI∼△LKJ), the corresponding angles of the triangles are equal.

From triangle GHI, we are given the measures of the angles:

• m∠G = 30°
• m∠H = 80°
• m∠I = 70°

Now, since the triangles are similar, the corresponding angles in triangle LJK can be found as follows:

1. \( m\angle J = m\angle G = 30° \)
2. \( m\angle K = m\angle H = 80° \)
3. \( m\angle L = m\angle I = 70° \)

Thus, the measures of the angles in triangle LJK are:

• m∠J = 30°
• m∠K = 80°
• m∠L = 70°

In summary:

• m∠J = 30°
• m∠K = 80°
• m∠L = 70°