Question

What are the 3 angle measures in the triangle shown below

Answer 1

9514 1404 393

Answer:

  B.  39°, 106°, 43°

Step-by-step explanation:

The sum of angle measures in a triangle is 180°. Then the sum of angle expressions will be 180.

  (3x +1) +(11x -4) +(5x -7) = 180

  19x -10 = 180 . . . . . collect terms

  19x = 190 . . . . . . . . add 10

  x = 10 . . . . . . . . . . . divide by 19

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Then the three angle measures are ...

• 3·10 +1 = 31
• 11·10 -4 = 106
• 5·10 -7 = 43

The appropriate choice is ...

  B.  31°, 106°, 43°