Answer:
Option B.
Step-by-step explanation:
Given information: ∠MHL=(3x+20), ∠KHN=(x+25), and ∠JHN=(x+20).
We need to find the measure of ∠JHN.
[tex]\angle MHL=\angle JHK[/tex] (Vertical opposite angles)
[tex]\angle MHL=\angle JHN+\angle KHN[/tex]
Substitute the given values.
[tex]3x+20=(x+20)+(x+25)[/tex]
[tex]3x+20=2x+45[/tex]
[tex]3x-2x=45-20[/tex]
[tex]x=25[/tex]
The value of x is 25. So, the measure of ∠JHN is
[tex]\angle JHN=x+20=25+20=45[/tex]
The measure of ∠JHN is 45°.
Therefore, the correct option is B.
