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snow_tiger [21]
3 years ago
9

Somebody help?! Finding an angle measure given a triangle and parallel lines.

Mathematics
2 answers:
Furkat [3]3 years ago
4 0

Answer:

  x = 59°

Step-by-step explanation:

The angle marked 115° and the angle that is the sum of angles x and 56° are alternate interior angles, so have the same measure:

  115° = x +56°

  59° = x . . . . . . . subtract 56°

Rus_ich [418]3 years ago
3 0

Answer:

x = 59

Step-by-step explanation:

angle 115 and angle 56 + x are alternate angles and congruent, thus

56 + x = 115 ( subtract 56 from both sides )

x = 59

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