Applying the definition of vertical angles, the measure of angle JHN is: B. 45°.
What are Vertical Angles?
The opposite angles formed when two straight lines intersect, are called vertical angles, and they are equal in measure.
m∠MHL = m∠JHK (vertical angles)
Substitute
3x + 20 = x + 25 + x + 20
Combine like terms
3x + 20 = 2x + 45
3x - 2x = -20 + 45
x = 25
Find m∠JHN:
m∠JHN = x + 20
Plug in the value of x
m∠JHN = 25 + 20
m∠JHN = 45°
Therefore, applying the definition of vertical angles, the measure of angle JHN is: B. 45°.
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