Mathematics, 24.07.2020 21:01 nehaljay1883
In the figure, and ∠EIA ≅ ∠GJB. Complete the following statements to prove that ∠IKL ≅ ∠DLH.
∠EIA ≅ ∠IKC and ∠GJB ≅ ∠JLD because they are corresponding angles of parallel lines cut by a transversal.
So, if ∠EIA ≅ ∠GJB, then ∠IKC ≅ ∠JLD by the
.
∠IKL and ∠IKC and ∠DLH and ∠JLD are pairs of supplementary angles by the
.
m∠IKL + m∠IKC = 180°(1)
∠IKC ≅ ∠JLD, so m∠IKC = m∠JLD(2)
Applying the
to equations (1) and (2), we get m∠IKL + m∠JLD = 180°.
Therefore, ∠IKL and ∠JLD are supplementary angles.
We've already shown that ∠DLH and ∠JLD are supplementary angles. Therefore, ∠IKL ≅ ∠DLH by the
Answers: 1
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In the figure, and ∠EIA ≅ ∠GJB. Complete the following statements to prove that ∠IKL ≅ ∠DLH.
∠EIA ≅...
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