Shannon is asked to draw a quadrilateral with the following specifications.

two opposite angles measure 52°
adjacent angles are supplementary
a side length of six inches

Which of the following statements about this quadrilateral is true?
A.
More than one quadrilateral exists with the given conditions, and all instances must be parallelograms.

B.
Exactly one quadrilateral exists with the given conditions, and it must be a parallelogram.

C.
Exactly one quadrilateral exists with the given conditions, and it must be a rhombus.

D.
More than one quadrilateral exists with the given conditions, and all instances must be rhombuses.

arrange the equations with like terms in columns.

analyze the coefficients of x or y.

add the equations and solve for the remaining variable.

substitute the value into either equation and solve.

check the solution.

step-by-step explanation:

c: lkllmn.

hope it's you

< xcy ≅ < xby

step-by-step explanation:

in δcax and δbax,

so, δcax ≅ δbax (side-angle-side or sas)

since δcax ≅ δbax, we can conclude < acx ≅ < abx

in δacy and δaby,

so, δacy ≅ δaby (side-angle-side or sas)

since δacy ≅ δaby, we can conclude < acy ≅ < aby

now,

< acy ≅ < aby

=> < acx + < xcy ≅ < abx + < xby

=> < acx + < xcy ≅ < acx + < xby   (since < acx ≅ < abx already proved above)

subtracting < acx from both sides, we get

< acx + < xcy -< acx ≅ < acx + < xby -< acx

cancelling out < acx and -< acx from both sides, we get

< xcy ≅ < xby (proved)

sasaasasa

step-by-step explanation:

sasasdfubisdbjvkzc