Question

Find the measure of angle N

Answer 1

let's see what's the sum of interior angles for a polygon => \(\bf (sides -2 ) \times 180\)

Answer 2

540

Answer 3

that's a pentagon, 5 sides, thus (5-2)* 180 => 3*180 = 540

Answer 4

at the bottom of the shape, we have 2 90 degrees ones
so the remaining 3 angles sum is 540-(2 * 90) = 360

Answer 5

and we know those angles sum add up to 360 then
so the angles are
17x+4
10x-10
and
18x+6

thus
( 17x+4 ) + ( 10x-10 ) + ( 17x+4 ) = 360

# solve for "x"
then replace in 18x+6 to get angle N

Answer 6

darn, talk about typos :(

Answer 7

( 17x+4 ) + ( 10x-10 ) + ( 18x+6 ) = 360

Answer 8

8

Answer 9

replace in 18x+6 to get angle N :)

Answer 10

150

Answer 11

:)