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kudzordzifrancis

Answer:

[tex]z=72\degree[/tex]

[tex]x=6[/tex]

Step-by-step explanation:

[tex]z=72\degree[/tex], vertically opposite angles are equal.

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

[tex](10x+48)\degree +72\degree =180\degree[/tex]

Solve for x.

[tex]10x+120\degree =180\degree[/tex]

[tex]10x =180\degree-120\degree[/tex]

[tex]10x =60\degree[/tex]

[tex]x =6[/tex]

imlittlestar

Answer:

x = 6

Z = 72°

Step-by-step 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)

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