△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)
To find the measures of angles J, K, and L, we need to use the fact that the sum of the angles in a triangle is 180 degrees.
Let's start by finding the measure of angle J:
Since angles G, H, and I are corresponding angles in the two similar triangles, we can say that:
m∠J = m∠H = 80°.
Next, let's find the measure of angle K:
Using the fact that the sum of the angles in a triangle is 180 degrees, we can subtract the measures of angles G and J from 180 degrees:
m∠K = 180° - m∠G - m∠J
m∠K = 180° - 30° - 80°
m∠K = 70°.
Finally, let's find the measure of angle L:
Using the fact that the sum of the angles in a triangle is 180 degrees, we can subtract the measures of angles I and K from 180 degrees:
m∠L = 180° - m∠I - m∠K
m∠L = 180° - 70° - 70°
m∠L = 40°.
Therefore, the measures of angles J, K, and L are:
m∠J = 80°,
m∠K = 70°,
m∠L = 40°.
nope
Apologies for the mistake.
Given that triangles △GHI and △LKJ are similar, we know that the corresponding angles in the triangles are equal.
We are given that m∠G = 30°, m∠H = 80°, and m∠I = 70°.
Using the properties of corresponding angles, we can determine the measures of angles J, K, and L.
m∠J = m∠H = 80°.
m∠K = m∠I = 70°.
m∠L = m∠G = 30°.
Therefore, the measures of angles J, K, and L are:
m∠J = 80°,
m∠K = 70°,
m∠L = 30°.