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snow_lady [41]
3 years ago
15

hhhhhhhhhhhhhhhhhhhhheeeeeeeeeeeeeeeeeeeeellllllllllllllllllllllllllppppppppppppppppppppp plz im almost done

Mathematics
2 answers:
posledela3 years ago
8 0

Answer:

a = 76

Step-by-step explanation:

a - 40 + a + 180 - (a + 36) = 180

a - 40 + a + 180 - a - 36 = 180

a + 104 = 180

a = 180 - 104

a = 76

kykrilka [37]3 years ago
7 0

Answer:

a = 76

Step-by-step explanation:

The remote angles theorem states that when one extends one side of a triangle, the sum of the two non-adjacent angles will equal the measure of the angle formed between the side of the triangle and the extension.

One can apply this theorem here by stating the following,

(a - 40) + (a) = (a + 36)

Simplify,

a - 40 + a = a + 36

2a - 40 = a + 36

Inverse operations,

2a - 40 = a + 36

-a            -a

a - 40 = 36

  +40     +40

a = 76

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