Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

what is the value of x for which m || n? o x = 40 o x = 5 x x = 105 o x…

Question

what is the value of x for which m || n?
o x = 40
o x = 5
x x = 105
o x = 30
105°
(3x - 15)°

Explanation:

Step1: Use corresponding - angles property

When $m\parallel n$, the corresponding angles are equal. So, $3x - 15=105$.

Step2: Solve the equation for $x$

Add 15 to both sides of the equation: $3x=105 + 15$.
$3x=120$.
Divide both sides by 3: $x=\frac{120}{3}$.
$x = 40$.

Answer:

$x = 40$