△GHI∼△LKJ , and m∠G=30° , m∠H=80° , and m∠I=70° . What are the measures of angles J , K , and L ?
To find the measures of angles J, K, and L, we can use the fact that the sum of the angles in a triangle is always 180°.
Given that ∠GHI ∼ ∠LKJ, we know that ∠G = ∠L, ∠H = ∠K, and ∠I = ∠J.
We are given that ∠G = 30°, ∠H = 80°, and ∠I = 70°.
Since ∠G = ∠L, ∠L = 30°.
Since ∠H = ∠K, ∠K = 80°.
Since ∠I = ∠J, ∠J = 70°.
Therefore, the measures of angles J, K, and L are: J = 70°, K = 80°, and L = 30°.