Mathematics: Which equation has the same solution as 4 - 2(x - 5 ) = x - 19? A) 2(x + 5) = -8 B) 3(x-3) = 9 C) x + 2 = 2x - 3 D) 3x - 4 = 2x + 7

Which equation has the same solution as 4 - 2(x

emblemhacks

22.01.2023

Vertically opposite angles are $x,z;y,76^{\circ}$

Linear pair of angles are $x,y;y,z;z,76^{\circ};x,76^{\circ}$

$y=76^{\circ}$ , $z=x=104^{\circ}$

Step-by-step explanation:

Given: image

To find: vertical angles, the angles that form linear pairs, value of x, y and z

Solution:

If two lines intersect each other then the vertically angles formed are equal.

Two adjacent angles are said to be linear if their sum is $180^{\circ}$ .

From the given image,

vertically opposite angles are $x,z;y,76^{\circ}$

Linear pair of angles are $x,y;y,z;z,76^{\circ};x,76^{\circ}$

As vertically opposite angles are equal, $y=76^{\circ}$

As sum of angles that form a linear pair is $180^{\circ}$ ,

$x+76^{\circ}=180^{\circ}\\x=180^{\circ}-76^{\circ}\\=104^{\circ}$

Also, as x and z are vertically opposite angles,

$z=x=104^{\circ}$

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