Question

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

Answer 1

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Sum of the measures is equal to 180° .

So :

`Angle \: \: A + Angle \: \: B + Angle \: \: C = 180 \\`

Thus :

`(5x - 5) + (3 x + 3) + (5x) = 180 \\`

Collect like terms

`13x - 2 = 180`

Add sides 2

`13x - 2 + 2 = 180 + 2`

`13x = 182`

Divide sides by 13

`(13x)/(13) = (182)/(13) \\`

`x = 14`

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`Angle \: \: B = 3x + 3`

`Angle \: \: B = 3(14) + 3`

`Angle \: \: B = 42 + 3`

`Angle \: \: B = 45°`

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Answer 2

Angle A

Explanation:

subtract 3x and 5x

you get 2x

-5-3=

you get -8

divide -8/2x

x=-4