Answer :

The measure of angle 2 is 110°. That is, m ∠2 = 110°

Calculating measure of angles

From the question, we are to determine m ∠2. That is, the measure of angle 2

From the given diagram,

We can observe that angle 1 and angle 4 are corresponding angles.

Thus,

m ∠1 = m ∠4

From the given information,

m ∠1 = 110°

∴ m ∠4 = 110°

Also,

Angle 4 and Angle 2 are vertically opposite angles

Thus,

m ∠4 = m ∠2

∴ m ∠2 = 110°

Hence, the measure of angle 2 is 110°. That is, m ∠2 = 110°

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