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Answer:
Given,
angle 7 = 65°
therefore,
angle 5 = angle 7 = 65° [since, vertically opposite angles]
By linear pair property,
angle 5 + angle 6 = 180°
=> 65° + angle 6 = 180°
=> angle 6 = 180° - 65°
=> angle 6 = 115°
therefore,
angle 6 = angle 8 = 115°
Now,
angle 7 = angle 1 = 65° [ since, alternate exterior angles]
therefore,
angle 1 = angle 3 = 65° [ since, vertically opposite angles]
angle 6 = angle 4 =115° [ since, alternate interior angles]
Therefore,
angle 4 = angle 2 = 115° [ since, vertically opposite angles]
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