In the figure, line l1 is parallel to line l2. if the measure of ∠4 = 144°, what is the measure of ∠6 and why? a. 144°, vertical angles have the same measure b. 144°, corresponding angles have the same measure c. 36°, same side interior angles are supplementary d. 36°, alternate exterior angles are supplementary

The measure of ∠6 is 36°

Option C is correct                

Step-by-step explanation:

we have to find the measure of ∠6

Since ∠4 and ∠6 angles formed on the same side interior angles and the same-side interior angles that are formed are supplementary, or add up to 180 degrees.

∴ ∠4+∠6=180°

144°+∠6=180°

∠6=180-144=36°

Hence, the measure of ∠6 is 36°

Therefore option C is correct.

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