can u please help me to solve tgis in 5 minutes
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Step-by-step explanation:
∠1=85°
∠3=∠1=85°(Corresponding angle)
∠2+∠3=180°(co-interior angles)
∠2=180-85=95°
∠4=∠2=95°(vertically opposite angles)
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Explanation:
Since n║p, and m acts as a transversal,
∠3 = ∠1 = 85°, for they are corresponding angles and corresponding angles are always equal when the lines that are intersected by the transversal are parallel.
Since m║l, and p acts as a transversal,
∠3 + ∠2 = 180° [for co-interior angles are supplementary, meaning their sum is equal to 180°].
==> 85°+∠2 = 180°
==> ∠2 = 180° - 85°
∴ ∠2 = 95°
∴ ∠4 = ∠2 = 95° [∵vertically opposite angles are equal]
Answer: 2 = 95, 3 = 85, 4 = 95
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