Given in the figure below, find the values of X and Z.

x = 6 , z = 79

Step-by-step explanation:

(8x + 53) and (6x + 43) are adjacent angles and sum to 180° , that is

8x + 53 + 6x + 43 = 180 , that is

14x + 96 = 180 ( subtract 96 from both sides )

14x = 84 (divide both sides by 14 )

x = 6

Then

6x + 43 = 6(6) + 43 = 36 + 43 = 79

z and 79 are vertical angles and congruent , then

z = 79

x = 6

z = 79

Step-by-step explanation:

We know that angles on a straight line add up to 180.

With this in mind:

For z:

Another approach using the property where opposite angles are equal:

135 is your answer

step-by-step explanation:

try 180 times three then divide that number by 4 (sides) to get your answer. im glad to : )

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