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Can someone explain the process of how to do this ACT math?

Can someone explain the process of how to do this ACT math?-example-1

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Answer:

Explanation:

∠D = ∠B {opposite angles of parallelogram are equal}

∠D = 40°

In ΔDCA

∠DCA + ∠D + ∠CAD = 180 {Angle sum property of triangle}

57 + 40 + ∠CAD = 180

97 + ∠CAD = 180

∠CAD= 180 - 97

CAD = 83°

User Senthil Babu
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