PLEASE HELP ITS MATH This triangle has one side that lies on an extended line segment. Based on this triangle, what statement about x is true? A. x = 27 because 180−109−44=27 B. x = 65 because 109−44=65 and 44 + 65 = 109 C. x = 71 because 180−109=71 D. x = 153 because 109 + 44 = 153 and 153−44=109

MEASUREMENTS (down below)

A triangle with base on an extended line. Two angle measures are given. Top interior angle is forty-four degrees. Lower right exterior angle is one hundred nine degrees. Lower left interior angle is labeled x degrees.

B. x = 65 because 109−44=65 and 44 + 65 = 109

Step-by-step explanation:

Given :

The triangle below :

Sum of interior angles of a triangle :

(44° + x + (180 - 109) = 180°

44° + x + 71° = 180

115° + x = 180°

x = 180° - 115°

x = 65°

given that triangle abc is transformed two times to get triangle

a"b"c"

first abc is transformed in to a'b'c' as follows:

the coordinates of a are (1,-1) and transformed into a'(-1,1)

similarly b (4,-2) became b'(-4,2) and

c(7,-2) became c'(-7,2)

i.e. (x,y) becomes (-x,-y)

this is nothing but reflection about a point here origin.

thus first transformation is reflection on the origin.

next is exactly shifting 3 units down

source:

10 down (bang1)

5 up

5down (2)

2.5 up

2.5 down (3)

1.25 up

1.25 down (4)

now add them up : )

hoped i lol