2 years ago

What are the 3 angle measures in the triangle shown below

Mathematics

1 answer:

7nadin3 [17]2 years ago

6 0

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

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°

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