Question

BEST is a rhombus, find the value of y-x?

Answer 1

As per your question and picture......

The value of x is......

x= 180-(40+90)=180-130=50 degrees.....

and the value of y is....

y= 90 degrees

hope it helps

mark me as a brainliest

follow me

thnx

Answer 2

Concept Introduction:-

It could take the shape of a word or a numerical representation of a quantity's arithmetic value.

Given Information:-

We have been given that BEST is a rhombus.

To Find:-

We have to find that the value of $y-x$

Solution:-

According to the problem

$\mathrm{TS} \| \mathrm{BE} \therefore \angle \mathrm{SBE}=\angle \mathrm{BST}=40^{\circ}$

$\angle \mathrm{y}=90^{\circ}$

In $\Delta \mathrm{TSO}$

$\angle \mathrm{STO}+\angle \mathrm{OST}=\angle \mathrm{EOS}$(Exterior angle property)

$\Rightarrow \mathrm{x}+40^{\circ}=90^{\circ} \Rightarrow \mathrm{x}=90^{\circ}-40^{\circ} \Rightarrow \mathrm{x}=50^{\circ}$

So, $y-x=90^{\circ}-50^{\circ}=40^{\circ}$

Final Answer:-

The correct answer is the value of $y-x$ is $40^{\circ}$.

#SPJ3