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spayn [35]
3 years ago
14

The lines a and b intersect at point D. What is the value of z?

Mathematics
2 answers:
Vesna [10]3 years ago
8 0
5z+8=4z+20

5z-4z=20-8

z=12
MrRissso [65]3 years ago
5 0

Answer:

The value of the z is 12 .

Step-by-step explanation:

Definition of vertically opposite angle .

Vertically opposite angles is defines angles opposite to each other when two lines cross eachother .

Thus

(5z + 8)° = (4z + 20)°

(5z + 8) = (4z + 20)

Open the bracket

5z + 8 = 4z + 20

5z -  4z = 20 -8

z = 12

Therefore the value of the z is 12 .


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