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Can anyone help me? I would really appreciate it. Thanks in advance.

Can anyone help me? I would really appreciate it. Thanks in advance.-example-1

1 Answer

5 votes

∠AKJ ≅ AIH because they are corresponding angles

60° = AIH by substitution

ΔAIH

∠A + ∠I + ∠H = 180° per the triangle angle sum theorem

x + 60 + 56 = 180 substituted known values

x + 116 = 180 added like terms

x = 64 subtracted 116 from both sides

Answer: 64°


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