△GHI∼△LKJ , 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 = 30
°
Since △GHI and △LKJ are similar, the corresponding angles are congruent. Therefore, m∠J = m∠G = 30°.
Since the sum of angles in a triangle is 180°, we can calculate m∠K by subtracting the known angle measures from 180°: m∠K = 180° - m∠J - m∠L = 180° - 30° - 30° = 120°.
Since m∠L = 30°, m∠K = 120°, and the sum of angles in a triangle is 180°, m∠J = 30°.
Therefore, the measures of angles J, K, and L are: m∠J = 30°, m∠K = 120°, and m∠L = 30°.
wrong
Apologies for the incorrect response. Let's re-evaluate the problem:
Since △GHI and △LKJ are similar, the corresponding angles are congruent. Therefore, m∠J = m∠I = 70° and m∠K = m∠H = 80°.
Since the sum of angles in a triangle is 180°, we can find m∠L by subtracting the known angle measures from 180°:
m∠L = 180° - m∠K - m∠J
m∠L = 180° - 80° - 70°
m∠L = 30°
Therefore, the measures of angles J, K, and L are: m∠J = 70°, m∠K = 80°, and m∠L = 30°.