In the diagram, the measure of angle 6 is 98º. What is the measure of angle 7?

∠7=82

Step-by-step explanation:

It is given in the figure that two parallel lines are cut by a transversal and angles are mentioned in the figure.

Also, it is given that ∠6=98° and from the figure we can see that ∠6 and ∠7 are on a straight line and forms a linear pair, therefore their sum is equal to 180°, thus

∠6+∠7=180°

⇒98°+∠7=180°

⇒∠7=180-98

⇒∠7=82°

Therefore, the measure of ∠7 is 82°.