Answer:
Since ∆ABC ≅ ∆XYZ, we know that the corresponding angles are congruent. Therefore, we have:
m∠A = m∠X
m∠B = m∠Y
Substituting the given values, we get:
m∠X = 40 degrees
m∠Y = 55 degrees
To find the measure of m∠C and m∠Z, we can use the fact that the sum of the angles in a triangle is always 180 degrees. Therefore, we have:
m∠C = 180 - m∠A - m∠B
m∠Z = 180 - m∠X - m∠Y
m∠C = 180 - 40 - 55 = 85 degrees
m∠Z = 180 - 40 - 55 = 85 degrees
Therefore, we have:
m∠A ≅ 40, m∠B ≅ 55, m∠C ≅ 85
m∠A ≅ 40, m∠B ≅ 55, m∠C ≅ 85m∠X ≅ 40, m∠Y ≅ 55, m∠Z ≅ 85
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Answers & Comments
Answer:
Since ∆ABC ≅ ∆XYZ, we know that the corresponding angles are congruent. Therefore, we have:
m∠A = m∠X
m∠B = m∠Y
Substituting the given values, we get:
m∠X = 40 degrees
m∠Y = 55 degrees
To find the measure of m∠C and m∠Z, we can use the fact that the sum of the angles in a triangle is always 180 degrees. Therefore, we have:
m∠C = 180 - m∠A - m∠B
m∠Z = 180 - m∠X - m∠Y
Substituting the given values, we get:
m∠C = 180 - 40 - 55 = 85 degrees
m∠Z = 180 - 40 - 55 = 85 degrees
Therefore, we have:
m∠A ≅ 40, m∠B ≅ 55, m∠C ≅ 85
m∠A ≅ 40, m∠B ≅ 55, m∠C ≅ 85m∠X ≅ 40, m∠Y ≅ 55, m∠Z ≅ 85