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r-ruslan [8.4K]
3 years ago
8

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?
Mathematics
2 answers:
luda_lava [24]3 years ago
7 0
If △ABC is similar to <span>△XYZ, the angles have the same degree measure.
Since </span>m∠A is 39° and m∠C is 24°<span>, and the total measure of the inner angles is;
(n - 2)180</span>° = (3 - 2)180° = 180°<span>,
180</span>° = m∠A + m∠B + <span>m∠C
180</span>° = m∠B + 39° + 24°
m∠B = 117°<span>
But because </span>△ABC is similar to △XYZ, m∠B = m∠Y;
m∠B = m∠Y = 117°
Sidana [21]3 years ago
5 0
180 degrees in a triangle. subtract the 2 know angles to get the third.
180-39-24=117
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