Question

Can anyone help me solve for x and z?

Answer 1

x = 6

Z = 72°

Explanation:

Vertically opposite angles are equal.

Sum of angles in a linear pair are supplementary ( sum = 180°)

From the figure we can see a vertically opposite angles.

To find the value of x

From figure we get,

72 + (10x + 48 ) = 180 (linear pair)

72 + 10x + 48 = 180

10x + 120 = 180

10x = 180 - 120 = 60

x = 60/10 = 6

x = 6

To find the value of z

From figure we get Z = 72°

(Since 72 and Z are vertically opposite angles)

Answer 2

`z=72\degree`

`x=6`

Explanation:

`z=72\degree`, vertically opposite angles are equal.

The sum of adjacent angles on a straight line is 180 degrees.

`(10x+48)\degree +72\degree =180\degree`

Solve for x.

`10x+120\degree =180\degree`

`10x =180\degree-120\degree`

`10x =60\degree`

`x =6`