liujennifer0925
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Use the information to answer the following question.


The angle measures of a triangle are shown.


Angle A: (5x – 5) degrees

Angle B: (3x + 3) degrees

Angle C: (5x) degrees

The sum of the measures of the three angles is equal to
180
°. What is the measure of Angle B? Explain

Respuesta :

madelinepalmer0430

Answer:

Angle A

Step-by-step explanation:

subtract 3x and 5x

you get 2x

-5-3=

you get -8

divide -8/2x

x=-4

hnori22003

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Sum of the measures is equal to 180° .

So :

[tex]Angle \: \: A + Angle \: \: B + Angle \: \: C = 180 \\ [/tex]

Thus :

[tex](5x - 5) + (3 x + 3) + (5x) = 180 \\ [/tex]

Collect like terms

[tex]13x - 2 = 180[/tex]

Add sides 2

[tex]13x - 2 + 2 = 180 + 2[/tex]

[tex]13x = 182[/tex]

Divide sides by 13

[tex] \frac{13x}{13} = \frac{182}{13} \\ [/tex]

[tex]x = 14[/tex]

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[tex]Angle \: \: B = 3x + 3[/tex]

[tex]Angle \: \: B = 3(14) + 3[/tex]

[tex]Angle \: \: B = 42 + 3[/tex]

[tex] Angle \: \: B = 45°[/tex]

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