Answer:∠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°.
