Select the correct answer from each drop-down menu. in the figure, ab || cd and ∠eij ≅ ∠gji. 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.

last option

step-by-step explanation:

given that δdef is right and isoceles,

assuming that side df is the hypotenuse means that de an ef are the other 2 sides that intersect at 90° and are of equal length.

because they are of equal length, we can say that they are congruent

because they intersect at 90°, their slopes must be opposite reciprocals.

only the last option satisfies these conditions.

+25 = x

step-by-step explanation:

here x is the hypotenuse of a right triangle whose legs are 7 and 24.   by the pythagorean theorem, 7² + 24² must equal x²:

x² = 49 + 576 = 625.   thus, x = +√625 = +25 = x

40 minutes

step-by-step explanation:

add the time and multiply by 2

-81 -56 -27 0 81

step-by-step explanation: