Answer: The answer is: " x = 11 . "
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<u>Step-by-step explanation</u>:
The 2 (two) angles shown form a "right angle" (i.e. "90° angle") ;
that is, the 2 (two) angles are "complementary" (i.e. their measures add up to: " 90° " ,
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So, add up the 2 (two) given angles, set the sum equal to 90 ; and solve for "x" ; as follows:
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<u>Note</u>: One of the given angles measures: "5x" ;
The other given angle measures: "35" ;
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5x + 35 = 90 ;
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Subtract "35" from Each side of the equation:
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5x + 35 - 35 = 90 - 35 ;
to get:
5x = 55 ;
Now, divide Each Side of the equation by: "5" ;
to isolate "x" on one side of the equation;
and to solve for "x" ;
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5x / 5 = 55 / 5 ;
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to get : " x = 11 " .
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Hope this answer—and explanation—are helpful to you!
Best wishes!
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