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Goryan [66]
3 years ago
12

Hello, happy Friday, I am just here with some geometry questions.

Mathematics
1 answer:
Marina86 [1]3 years ago
6 0

Answer:

x=12

Step-by-step explanation:

Notice that the segment bisects the obtuse angle.

Then by the Angle Bisector Theorem:

\displaystyle \frac{x-4}{6}=\frac{x}{9}

Cross-multiply:

6(x)=9(x-4)

Distribute:

6x=9x-36

So:

-3x=-36

Therefore:

x=12

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Answer :- Yes the two triangles are similar because there are two pairs of congruent corresponding angles.

Explanation:-

In Δ ABC

∠A=30° , ∠C=65 °

By angle sum property of triangle

∠A + ∠B + ∠C= 180°

⇒∠B= 180°-∠A-∠C=180°-30°-65°=85°

⇒∠B=85°

Now in ΔABC and ΔDEF

∠A=∠D=30° and ∠B=∠E=85°

⇒ there are two pairs of congruent corresponding angles.

So by AA-similarity criteria

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Step-by-step explanation:

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allochka39001 [22]

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