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3 years ago

BRANLIEST FOR CORRECT ANSWER

Mathematics

1 answer:

Marat540 [252]3 years ago

3 0

Answer:

Step-by-step explanation:

△ RST ≅ △ TXY

We are given ΔRST and ΔTXY are congruent to each other.

If two triangles are congruent to each other then their corresponding parts are equal.

Please see the attachment of two triangles.

∠R is corresponding to ∠T

∵ ∠R=∠T By CPCT

∠XYT is corresponding to ∠STR

∵ ∠XYT=∠STR By CPCT

∠XTY is corresponding to ∠SRT.

∵ ∠XTY=∠SRT By CPCT

∠TXY is corresponding to ∠RST

∵ ∠TXY=∠RST By CPCT

CPCT: Congruent part of congruence triangle.

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Hello and Good Morning/Afternoon:

Let's take this problem step-by-step:

What does the information want:

value of x
value of y

Let's gather some information:

ΔA'BC' and ΔABC are similar triangles

⇒ Angle B is shared by both triangles

⇒ Angle A' and A are the same, as they are both on parallel

lines, A'C' and AC, and both angles are formed with the

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⇒ by the Angle-Angle Theorem*, they are similar triangles

If they are similar triangles:

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⇒ let's set up a proportion

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Answer:

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Hope that helps!

#LearnwithBrainly

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