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What are the three angle measures in the triangle shown below?

What are the three angle measures in the triangle shown below?-example-1
User Feliks
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Answer is B, x is 10
User Breon
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Answer: B.

Explanation:

We will use the knowledge of a triangle's angles adding up to 180 degrees. We will create an equation and solve for x. Then we will substitute this value back into the expressions and find the angle measurement.

Given:

(3x + 1) + (5x - 7) + (11x - 4) = 180

Combine like terms:

19x - 10 = 180

Add 10 to both sides of the equation:

19x = 190

Divide both sides of the equation by 19:

x = 10

Substitute back in:

(3x + 1) (5x - 7) (11x - 4)

(3(10) + 1) (5(10) - 7) (11(10) - 4)

(30 + 1) (50) - 7) (110) - 4)

(31) (43) (106)

Answer: B

User Ghassan Elias
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