Question

find the value of X y and z in the figure
please don't write wrong answers​

Answer 1

Answer:

Answer in attachment pic.

Step-by-step explanation:

Hope this helps you.

# By Sparkly Princess

Answer 2

Answer :-

• The value of x = 55°.
• The value of y = 125°.
• The value of z = 125°.

To find :-

• The value of x, y and z in the given figure.

Step-by-step explanation :-

• Let's find the value of all the angles by using various properties of lines and angles!!

Let's start with x!

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$\mid\underline{\boxed{\sf To \: find \: the \: value \: of \: x :-}} \mid$

• As we can see in the given figure, x and 55° form vertically opposite angles.

We know that :-

• Vertically opposite angles are equal.

• It means that the value of x and 55° is the same.

$\overline{\boxed{ \tt\implies x = 55^{\circ}.}}$

• Hence, the value of x is 55°.

Now let's find the value of y!

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$\mid\underline{\boxed{ \sf To \: find \: the \: value \: of \: y :-}} \mid$

• As we can see in the given figure, x and y form a linear pair.

We know that :-

• Linear pairs add up to 180°.

• This means that the sum of x and y is equal to 180°.

$\tt\implies x + y = 180^{\circ}$

Substituting the value of x,

$\tt\implies 55^{\circ} + y = 180^{\circ}$

Transposing 55° from LHS to RHS, changing it's sign,

$\tt\implies y = 180^{\circ} - 55^{\circ}$

Subtracting the numbers,

$\overline{\boxed{\tt \implies y = 125^{\circ}.}}$

• Hence, the value of y is 125°.

Now finally, let's find the value of z!

-----------------------------------------------------------

$\mid\underline{\boxed{\sf To \: find \: the \: value \: of \: z :-}} \mid$

• As we can see in the figure, 55° and z form a linear pair.

We know that :-

• Linear pairs add up to 180°.

• This means that the sum of 55° and z is equal to 180°.

$\tt \implies z + 55^{\circ} = 180^{\circ}$

Transposing 55° from LHS to RHS, changing it's sign,

$\tt \implies z = 180^{\circ} - 55^{\circ}$

Subtracting the numbers,

$\overline{\boxed{\tt \implies z = 125^{\circ}.}}$

• Hence, the value of z = 125°.