Question

Find the value of x,y,z.

What is value of x,y,z.

Answer 1

Answer:

$x=7\\y=128\\z=128$

Step-by-step explanation:

Value of x:-

Form an equation:

$4x+24=7x+3$  {opposite / vertical angles are equal}

Subtract 7x from both sides:

$4x+24-7x=7x+3-7x$

$-3x+24=3$

Subtract 24 from both sides:

$-3x+24-24=3-24$

$-3x=-21$

Divide both sides by -3

$-3x/-3=-21/-3$

$x=7$

Value of y and z:-

Value of x is 7 so replace x in the equations:

$4(x)+24=52\\7(7)+3=52$

Now that we have the value of x, its easy to find y and z

$52+52+y+z=360$

{complete circle makes 360°}

$104+y+z=360$

$y+z=360-104$

$y+z=256$

Divide 256 by 2 to get value of each variable:

vertically opposite angles (y & z) are equal

$256/2 = 128$

$y=128\\z=128$

∴ CHECK: 128 + 128 + 52 + 52 = 360°

hope this helps...

Answer 2

Answer:

X=7

Y and Z = 128

Step-by-step explanation:

7X+3=4X+24

it is equal coz by the opposite angle

find the value of X

7x+3=4x+24--------------collect like term

3x=21----------divided by 3

x=7

then 7x+3=52

4x+24=52

SR is the line that measure 180°

that means (7x+3)+Z=180°

use the value of X into the equation

Z=180-52

Z=128

it means Z and Y are equal so Y= 128