Lines m and n are parallel. find the value of x.
A. 15
B. 20
C. 65
D. 115
![Lines m and n are parallel find the value of x A 15 B 20 C 65 D 115 class=](https://us-static.z-dn.net/files/d6a/60a627216cca5a54b35e9963754380be.png)
Answer:
Option B, x = 20
Step-by-step explanation:
Step 1: Make an equation
The values of 65 degrees and (3x + 5) are equal.
65 = 3x + 5
Step 2: Subtract 5 from both sides
65 - 5 = 3x + 5 - 5
60 = 3x
Step 3: Divide both sides by 3
60 / 3 = 3x / 3
20 = x
Answer: Option B, x = 20
The angle 65° is the same as the angle (3x + 5)° because their parallel.
We can write this as (3x + 5) = 65
Now, solve for x.
3x + 5 = 65
3x + 5 - 5 = 65 - 5
3x = 60
3x/3 = 60/3
x = 20 (Option B)
Best of Luck!