If opposite angles of a quadrilateral are supplementary then the quadrilateral is a parallelogram. true or false

B. False.

Step by step explanation:

We have been given an statement that 'if opposite angles of a quadrilateral are supplementary then the quadrilateral is a parallelogram' and we are asked to determine whether this statement is true or false.

Let us recall parallelogram properties, which says that a quadrilateral is parallelogram if opposite angles of quadrilateral are congruent and two consecutive angles of quadrilateral are supplementary.

Therefore, our given statement is false and option B is the correct choice.  

answer: are you

step-by-step explanation:

c. 27 units.

step-by-step explanation:

we are told that in circle a, ∠bae ≅ ∠dae.

we can see from our given diagram that in and ;

, as these are radii of our given circle.

therefore, by sas congruence postulate.

hence, side be will be equal to side de as corresponding parts of congruent triangles are congruent. so we can set an equation to find the value of x as:

now let us substitute x=17 in the expression for the length of be.

therefore, length of be will be 27 units and option c is the correct choice.