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If al band elf what is the value of y?2.) Show your work.(x + 1)e(x-3)

If al band elf what is the value of y?2.) Show your work.(x + 1)e(x-3)-example-1
User Grzuy
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1 Answer

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9 votes

Considering the lines e, f, and a, angles (x + 1)° and (x - 3)° are same side exterior angles, then they are supplementary, that is,

(x + 1) + (x - 3) = 180

(x + x) + (1 - 3) = 180

2x - 2 = 180

2x = 180 + 2

x = 182/2

x = 91

Considering the lines a, b, and e, angles (x + 1)° and y° are alternate side interior angles. Therefore, they are congruent, that is,

x + 1 = y

Substituting with the value of x:

91 + 1 = y

92° = y

User Elpida
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