What is the value of z?

Mathematics

1 answer:

VashaNatasha [74]3 years ago

6 0

Answer:

z = 61

Step-by-step explanation:

The exterior angle is congruent (equal to) the sum of the 2 farthest angles from it, so you can set the equation like this:

z + z - 11 = z + 50

Add like terms, which would be the 2 "z's" on the left side:

2z - 11 = z + 50

Then subtract the z on the right side from both sides:

2z - 11 = z + 50

-z -z

___________

z - 11 = 50

Add 11 to both sides:

z - 11 = 50

+ 11 +11

________

z = 61

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