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QUESTION IMAGE

solve for x. k n q (2x - 5)° m p r 105° o l x =

Question

solve for x.
k
n
q
(2x - 5)°
m
p
r
105°
o
l
x =

Explanation:

Step1: Identify angle - relationship

The angles $(2x - 5)^{\circ}$ and $105^{\circ}$ are vertical angles. Vertical angles are equal.

Step2: Set up the equation

Set $2x-5 = 105$.

Step3: Solve the equation for x

Add 5 to both sides: $2x=105 + 5$, so $2x=110$. Then divide both sides by 2: $x=\frac{110}{2}=55$.

Answer:

$55$