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Answer :
Final answer:
By using the Triangle Angle Sum theorem, which states that the sum of the angles of a triangle equals 180 degrees, we subtract the known angles (X and Z) from 180. Thus we find that the measure of Angle Y in the triangle XYZ is 62 degrees.
Explanation:
In a triangle, the sum of all the angles is equal to 180 degrees. This is known as the Triangle Angle Sum theorem. Given that the triangle XYZ has angle X with 65 degrees and angle Z with 53 degrees, we can use this theorem to find the value of angle Y. We subtract the measure of angles X and Z from 180 degrees.
So, the calculation will be: Angle Y = 180 - (Angle X + Angle Z) = 180 - (65 + 53) = 62 degrees.
Therefore, the measure of angle Y in triangle XYZ is 62 degrees which corresponds to option A.
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