Question

I need a lot of help please! ):

Answer 1

9514 1404 393

Answer:

1. x = 23
2. x = 25

Explanation:

1. Each of the angles shown is an external angle to the adjacent internal angle of the quadrilateral. The sum of the angles of the quadrilateral is 360°. The internal angle is the supplement of the external angle.

(180 -(x +16)) +(180 -(3x -1)) +(180 -6x) +(180 -5x) = 360

705 -15x = 360 . . . . . collect terms

47 -x = 24 . . . . . . . . . . divide by 15

47 -24 = x = 23

__

2. The sum of the angles of a pentagon is 540°, so we have ...

(5x +5) +2(4x -10) +2(4x +15) = 540

21x +15 = 540 . . . . simplify

21x = 525 . . . . . . . .subtract 15

x = 25 . . . . . . . . . . . divide by 21