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In DCAB, If DB=38, What is DC? 38 45 52 112

In DCAB, If DB=38, What is DC? 38 45 52 112-example-1

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Answer:

C. 52°

Explanation:

In ∆CAB, m<A = right angle = 90°

m<B = 38°

m<C + m<A + m<B = 180° (sum of ∆)

m<C + 90° + 38° = 180° (substitution)

m<C + 128 = 180

m<C = 180 - 128 (subtraction property of equality)

m<C = 52°

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