Answer:
A. 36°
Step-by-step explanation:
Given:
m<NST = 15x - 4
m<RSN = 6x
m<RST = 122°
Required:
m<RSN
Solution:
First we need to create an equation to determine the value of x.
Thus:
m<NST + m<RSN = 122° => angle addition postulate
15x - 4 + 6x = 122 (substitution)
Add like terms
21x - 4 = 122
21x - 4 + 4 = 122 + 4
21x = 126
21x/21 = 126/21
x = 6
✔️m<RSN = 6x
Plug in the value of x
m<RSN = 6(6) = 36°
