Find the measure of x.

Answer:
x = 7
Step-by-step explanation:
You equate 135 to 15(x+2) because they are alternate exterior angle which are always equal.they are congurent
135 = 15( x+2)
You open the brackets.
135 = 15x + 30
135 - 30 = 15x
105 = 15x
7 = x
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The value of 'x' is 7 and this can be determined by forming the linear equation in one variable and then using the arithmetic operations.
Given :
Angles -- [tex]135^\circ[/tex] and 15(x + 2)
To measure the value of 'x', equate 135 with 15(x + 2) because they are alternate exterior angles and they are congruent.
[tex]15(x+2)=135\\[/tex]
[tex]15x+30=135[/tex]
[tex]15x=105[/tex]
[tex]x =\dfrac{105}{15}[/tex]
x = 7
Therefore, the value of 'x' is 7 and this can be determined by forming the linear equation in one variable and then using the arithmetic operations.
For more information, refer to the link given below:
https://brainly.com/question/2263981