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23-10-2021
Mathematics

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∠2≅∠4, m∠2=110°. Find the measures of angles 1, 3, and 4 and explain how you know.

24 m2110 Find the measures of angles 1 3 and 4 and explain how you know class=

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JoshEast JoshEast

23-10-2021

Answer: ∠1 =70° ; ∠3 = 70° ; ∠4 = 110°

Step-by-step explanation:

∠2 ≅ ∠4 = 110° [exterior alternate angles are equal]

∠1 = 180° - 110° = 70° [since angles on a line have a sum of 180°]

∠1 = ∠3 = 70° [since vertically opposite angles are equal]

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