If m∠2 = 108° and m∠p = 55°, then m∠o =

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°

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step-by-step explanation: