if l and m are parallel and <16=4x+3 and <8=14x-3 calculate <1

51.92
41.92
56.58
43
none

5 answers

none (additional information required)
why?
To solve for <1 in this scenario, we would need additional information such as the positions of angles 1, 8, and 16, or the relationship between angle 1 and angles 8 and 16. Without this information, we cannot use the given angle measurements to calculate the value of angle 1.
but that is all im given
My apologies, in that case, we can use the fact that angles 8 and 16 are corresponding angles since lines l and m are parallel. Corresponding angles are congruent, meaning they have the same measure.

Therefore, we can equate the given angle measurements:

<16 = <8 + <1
4x + 3 = 14x - 3 + <1
<1 = 11x + 6

Substituting x = 4, we get:

<1 = 50

None of the given answer options match this result.
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