abbeyme
contestada

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?

Respuesta :

180 degrees in a triangle. subtract the 2 know angles to get the third.
180-39-24=117
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°