The triangles ABC and XYZ are similar. Find the measure of X.

Answer:
37 degrees.
Step-by-step explanation:
No matter how much smaller or bigger the shape is, it is still similar to the other shape, meaning they will have different angle measurements, but the degrees will remain the same.
Since Angle A is equal to Angle X. the measure of angle X will be 53 degrees.
The angle sum property of a triangle states that the sum of the interior angles of a triangle is 180 degrees.
The triangles ABC and XYZ are similar.
Side AB is proportional to side XY
Side AC is proportional to side XZ
Since we know side AB and side XY are proportional to each other, sp there angles must be similar.
Angle A = Angle X
We know that in triangle ABC
Angle A + Angle B + Angle C = 180
Angle A + 90 + 37 = 180
Angle A = 53 degrees
Thus, Since Angle A is equal to Angle X. the measure of angle X will be 53 degrees.
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