Question

Geometry math question

Answer 1

we know that

exterior angle is sum of two interior angles

so,

Z=X+Y

now, we can plug values

and we get

$171-n=6n-20+5n+11$

now, we can solve for n

$n=15$

now, we can find Z

$Z=171-n$

now, we can plug n=15

$Z=171-15$

$Z=156$.............Answer

Answer 2

we know that

exterior angle is sum of two interior angles

so,

Z=X+Y

now, we can plug values

and we get

171-n=6n-20+5n+11

now, we can solve for n

n=15

now, we can find Z

Z=171-n

now, we can plug n=15

Z=171-15

Z=156 .............Answer