Question

Tell whether the angles are adjacent or vertical. Then find the value of x.

Answer 1

Answer : The angles are vertical angles and the value of x is $25^o$

Step-by-step explanation :

Adjacent angles : It is defined as the two angles that have the common arm and common vertex.

Vertical angles : It is defined as the two lines intersect each other and form angles. The opposite angles are known as vertically opposite angles.

And we know that the vertically opposite angles are equal.

In the given image, the angles are vertical angles and vertically opposite angles are equal.

So,

$(4x-25)^o=75^o$

$4x-25^o=75^o$

$4x=75^o+25^o$

$4x=100^o$

$x=\frac{100^o}{4}$

$x=25^o$

Therefore, the angles are vertical angles and the value of x is $25^o$