wll what is the value of y
(105)
A 58
B 122
C
D
142
155
![wll what is the value of y105A 58B 122CD142155 class=](https://us-static.z-dn.net/files/d47/96845a0c092f67c85c9a19b0edfe9d2e.jpg)
Answer:
D
Step-by-step explanation:
10x - 5 and 7x + 4 are vertical angles and congruent, hence
10x - 5 = 7x + 4 ( subtract 7x from both sides )
3x - 5 = 4 ( add 5 to both sides )
3x = 9 ( divide both sides by 3 )
x = 3
7x + 4 and y are same side interior angles and are supplementary, thus
y + 7x + 4 = 180 ← substitute x = 3
y + 21 + 4 = 180
y + 25 = 180 ( subtract 25 from both sides )
y = 155 → D