Answer:
The measure of angle O is 53°.
Step-by-step explanation:
Since, the exterior angle theorem states that the measure of an exterior angle in a triangle is equal to the sum of the opposite interior angles.
Given,
HOP is a triangle in which,
m∠P = 55° and m∠2 = 108°
Since, ∠P and ∠O are the opposite interior angle of the exterior angle 2,
Thus, by the above theorem,
m∠P + m∠O = m∠2
⇒ 55° + m∠O = 108°
⇒ m∠O = 108° - 55° = 53°
