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Given: X = 35^, Y = 65^.

Mathematics

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Question 10: In triangle XYZ.
Given: ∠X=35∘\angle X = 35^\circ, ∠Y=65∘\angle Y = 65^\circ.
From the diagram, side XZ = 8 cm. This is the side opposite angle Y.
Assumption: I am assuming the diagram's label of 8 cm for side XZ is correct, and the text "Side opposite X = 8 cm" is a typo.

a) Find angle Z.

Step 1: The sum of angles in a triangle is 180∘180^\circ.

∠Z=180∘−∠X−∠Y\angle Z = 180^\circ - \angle X - \angle Y
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