Complete the following statements to prove that ∠ikl and ∠jld are supplementary angles.
it is given that ∠eij ≅ ∠gji.
also, ∠eij ≅ ∠ikl and ∠gji ≅ ∠jlk, as they are corresponding angles for parallel lines cut by a transversal.
by the definition of congruent angles, m∠eij = m∠gji, m∠eij = m∠ikl, and m∠gji = m∠jlk.
so, m∠ikl = m∠jlk by the .
angle jlk and ∠jld are supplementary angles by the , so m∠jlk + m∠jld = 180°.
by the , m∠ikl + m∠jld = 180°.
therefore, ∠ikl and ∠jld are supplementary angles by definition.

answer rather than having to add and subtract the measurements of the semi-circle, notice that the semicircle to the left of ad is actually identical in area to the blank semicircle-shaped space to the left of bc. so if we transferred the red semicircle into the blank space, we would end up with a square of side length 24 cm. the area of a square is s^2 = 24^2 = 676 cm^2.

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times both sides by 2, times () by 8, add alile terms, move terms, add alike and caculate divide both sides by 3

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