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Gennadij [26K]
3 years ago
14

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

Mathematics
1 answer:
attashe74 [19]3 years ago
7 0

\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 ↦ <u>C.</u><u> </u><u> m</u><u> </u><u>∠</u><u>X = 32°</u>

ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ

꧁❣ ʀᴀɪɴʙᴏᴡˢᵃˡᵗ2²2² ࿐

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