Question

Which of the following statements must be true, given that ΔABC≅ΔXYZ, and the measure of ∠C is 32°

Answer 1

$\huge\boxed{\boxed{\underline{\textsf{\textbf{Answer}}}}}$

Given,

ΔABC ≅ ΔXYZ

If these 2 triangles are congruent with each other then,

∠ A = ∠ X $\boxed{\bf{Corresponding \ parts \ of \ congruent \ triangles}}$

∠ B = ∠ Y $\boxed{\bf{Corresponding \ parts \ of \ congruent \ triangles}}$

∠ C = ∠ Z $\boxed{\bf{Corresponding \ parts \ of \ congruent \ triangles}}$

Now,

We saw that ∠ C = ∠ Z.

⟹ So, if ∠ C = 32°, then even ∠ Z will be equal to 32°. $\boxed{\sf{Equal \ angles \ have \ equal \ measurements}}$

ᶛɲƧཡэʀ ↦ C. m ∠X = 32°

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