Respuesta :

Angle 6 and 7 both form a straight angle which is equal to 180

Since angle 6 equals 98 then you do 180 - 98 to get the angle for angle 7 which is 82

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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°.