△BCE ~ △JKL. If m∠B = 89º, m∠C = 13º, and m∠E = 78º what is m∠J?
m∠J = __
I apologize for the mistake. Let's try to solve the problem correctly.
Given that △BCE ~ △JKL, we know that the corresponding angles are congruent.
From the information provided, we have:
m∠B = 89º
m∠C = 13º
m∠E = 78º
Since △BCE ~ △JKL, we can use the fact that the corresponding angles are congruent to find m∠J.
m∠B = m∠J (corresponding angles)
Therefore, m∠J = 89º.
I apologize for the mistake. Let's correct it.
Given:
m∠G = 30º
m∠H = 80º
m∠I = 70º
Since △GHI ~ △LKJ, we know that the corresponding angles are congruent.
From the given information:
m∠G = m∠L (corresponding angles)
So, m∠L = 30º.
m∠H = m∠K (corresponding angles)
So, m∠K = 80º.
To find m∠J, we need to use the fact that the sum of angles in a triangle is 180º:
m∠J = 180º - m∠K - m∠L
m∠J = 180º - 80º - 30º
m∠J = 70º.
Therefore:
m∠J = 70º
m∠K = 80º
m∠L = 30º.
To find the measure of angle B in △ABC, we can use the fact that the sum of angles in a triangle is 180º.
Given:
m∠A = 63º
m∠C = 99º
To find m∠B, we can subtract the measures of angles A and C from 180º:
m∠B = 180º - m∠A - m∠C
m∠B = 180º - 63º - 99º
m∠B = 18º.
Therefore, m∠B = 18º.
To solve this problem, we will use the fact that corresponding angles of similar triangles are congruent.
Since △BCE ~ △JKL, we know that the corresponding angles are congruent, which means that:
m∠C = m∠J
Therefore, m∠J = m∠C = 13º.
incorrect
△GHI ~ △LKJ, and m∠G = 30º, m∠H = 80º, and m∠I = 70º. What are the measure of angles J, K, and L?
m∠J = __º, m∠K = __º, and m∠L = __º
Since △GHI ~ △LKJ, we know that the corresponding angles are congruent.
Given:
m∠G = 30º
m∠H = 80º
m∠I = 70º
Let's find the measures of angles J, K, and L.
From the given information:
m∠G = m∠K (corresponding angles)
So, m∠K = 30º.
m∠H = m∠L (corresponding angles)
So, m∠L = 80º.
Finally, we can find m∠J by using the fact that angles in a triangle add up to 180º:
m∠J = 180º - m∠K - m∠L
m∠J = 180º - 30º - 80º
m∠J = 70º.
Therefore:
m∠J = 70º
m∠K = 30º
m∠L = 80º.
70 degrees is correct but the rest are not
Apologies for the mistake. Let's solve the problem correctly.
Given:
m∠G = 30º
m∠H = 80º
m∠I = 70º
Since △GHI ~ △LKJ, we know that the corresponding angles are congruent.
From the given information:
m∠G = m∠K (corresponding angles)
So, m∠K = 30º.
m∠H = m∠L (corresponding angles)
So, m∠L = 80º.
To find m∠J, we need to use the fact that the sum of angles in a triangle is 180º:
m∠J = 180º - m∠K - m∠L
m∠J = 180º - 30º - 80º
m∠J = 70º.
Therefore:
m∠J = 70º
m∠K = 30º
m∠L = 80º.