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77julia77 [94]
2 years ago
7

∠A and ​ ∠B ​ are vertical angles with m∠A=x and m∠B=4x−30 . What is m∠A ?

Mathematics
1 answer:
Anuta_ua [19.1K]2 years ago
3 0
Okay so this is just step by step hope this helps you.

4x-30=180 
180-30
4x=150
150/4
37.5 
x=37.5
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2 years ago
Which congruence theorem can be used to prove △BDA ≅ △DBC? Triangles B D A and D B C share side D B. Angles C B D and A D B are
Tomtit [17]

Answer:

A. Hypotenuse-leg (HL) congruence.

HL, when you have 2 right triangles and their hypotenuses are congruent you are able to say HL

Step-by-step explanation:

We know that the hypotenuse-leg theorem states that if the hypotenuse and one leg of a right triangle are congruent to hypotenuse and corresponding leg of another right triangle, then the triangles are congruent.  

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BDA and DBC share a common side DB.

Using Pythagorean theorem we will get,

CD^{2}=DB^{2}+BC^{2}...(1)  \\\\AB^{2}=DB^{2}+AD^{2}...(2)

We have been given that CD=AB, Upon using this information we will get,

DB^{2}+BC^{2}=DB^{2}+AD^{2}

Upon subtracting DB^{2} from both sides of our equation we will get,

BC^{2}=AD^{2}\\\\BC=AD

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6 0
1 year ago
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