Question

Drag the tiles to the correct boxes to complete the pears. Match the values based on parallelogram ABCD, shown in the figure.

Answer 1

Answer:

$L ength of \overline{BC} \rightarrow 4 units\\Value of y\rightarrow44^\circ\\m\angle DAB\rightarrow56^\circ\\ Value of x \rightarrow 2 units$

Step-by-step explanation:

In parallelogram ABCD, BC=AD

Given:

BC=(6-x) units

AD =(x+2) units

Therefore:

6-x=x+2

x+x=6-2

2x=4

x=2

BC=(6-x) units

=(6-2) units

BC=4 units

The opposite angles of a parallelogram are equal. Therefore:

$m\angle BCD=m\angle BAD\\12^\circ+y^\circ=100^\circ-y^\circ\\y^\circ+y^\circ=100^\circ-12^\circ\\2y^\circ=88^\circ\\y=44^\circ$

$m\angle DAB=100^\circ-y^\circ\\=100^\circ-44^\circ\\m\angle DAB=56^\circ$

Therefore, the match is:

$L ength of \overline{BC} \rightarrow 4 units\\Value of y\rightarrow44^\circ\\m\angle DAB\rightarrow56^\circ\\ Value of x \rightarrow 2 units$