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larisa86 [58]
3 years ago
6

Given 1 = 123° and 8 = 7z + 11. What is the value of z, if lines a and b are parallel?

Mathematics
2 answers:
Murljashka [212]3 years ago
7 0

Answer:

z = 16

Step-by-step explanation:

Since a and b are parallel lines, then

∠ 1 and ∠ 8 are Alternate exterior angles and are congruent, thus

7z + 11 = 123 ( subtract 11 from both sides )

7z = 112 ( divide both sides by 7 )

z = 16

Serga [27]3 years ago
3 0

Answer:

z=16

Step-by-step explanation:

We know for sure that since A and B are parallel that 1, 4, 5, and 8 are equal.

So then the equation is simply 123=7z+11---> 7z=112----> z=16

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