Question

Line I is parallel to line M. If the measure of 6 is 75 degrees, what is the measure of 3?

Answer 1

In the given diagram, the measure of ∠3 will be 105°.

In the given diagram, ∠3 and ∠6 are consecutive interior angles.

How to form supplementary angles by transversal?

If two parallel lines are cut by a transversal, then the pairs of consecutive interior angles formed are supplementary.

That is,

∠3 + ∠6 = 180°

From the given information,

∠6 = 75°

Then,

∠3 + 75° = 180°

∠3 = 180° - 75°

∠3 = 105°

Hence, the measure of ∠3 will be 105°.

Learn more about the measures of angles here: brainly.com/question/2883630

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