i suck at math. △ABC△ABC is similar to △XYZ△XYZ by the AA Similarity PostulateAA Similarity Postulate . The measure of ∠A∠A is 39º and the measure of ∠C∠C is 24º. What is m∠Ym∠Y?
If △ABC is similar to △XYZ, the angles have the same degree measure. Since m∠A is 39° and m∠C is 24°, and the total measure of the inner angles is; (n - 2)180° = (3 - 2)180° = 180°, 180° = m∠A + m∠B + m∠C 180° = m∠B + 39° + 24° m∠B = 117° But because △ABC is similar to △XYZ, m∠B = m∠Y; m∠B = m∠Y = 117°