Please answerrrrr Thank you!!!!!!!!!!!!

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Please answerrrrr
Thank you!!!!!!!!!!!!

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The correct answers are: _________________  " (x − 13) ° = 53 ° " ; _________________  " x = 66 " ; _________________  " m∠2 = 55° " ; _________________  " m∠1 = 55° " .__________________Step-by-step explanation:Note:  The following "given values/answers" within the attached image: Specifically:  (x − 13)° = 72° ; and;   x = 85° ; _________________    are: "incorrect"—and are "arbitrarily assigned values"_________________The values and expressions given in the attached image, however, are correct/do make sense; and we can use such data to solve the problem._________________Let's start by finding the measure of ∠2 ;  that is: " m∠2 " :To find m∠2: _________________Note that:  both: "∠2 " ; and the angle that measures "175" with the attached image:             → both form a straight line—that is;               → they are "supplementary angles" ;               → which means they add up to "180° " ; _________________So:  To solve for:  "m∠2" : _________________ →  m∠2 = 180 − (125) = 55° ,_________________Now; to solve for:  " m∠1 " : _________________Note that ∠1 and ∠2 are vertical angles: which means that they have equal measurements;  {since: vertical angles are congruent; which means that vertical angles are equal.} ; _________________→  As such, m∠1 = m∠2 = 55 °._________________Now, take either ∠1 or ∠2 ; (each has the same "measurement"—"55° " ;  And combine with angle with the given measurement of 72° ;  And combine with the angle with the "given measurement of [the expression: ["x − 13"]° ; _________________All three of these angles form a straight line—that is;               → they are "supplementary angles" ;               → which means they add up to "180° " ; So, 55° + 72° + (x − 13)° = 180° ;  Let us solve for "x" ; and for "(x − 13)" ; _________________55 + 72 = 127 ; → 127 + (x − 13) = 180 ; Now, subtract "127" from each side of the equation:_________________  → 127 + (x − 13) − 127 = 180 − 127 ;    to get:           " (x − 13) = 53 " ; →  which is one of our answers;  Now, to solve for "x" ; we add "13" to Each Side of the equation;    to isolate "x" on one side of the equation; & to solve for "x" : _________________       x − 13 + 13 = 53 + 13 ; to get: _________________       x  = 66 ; _________________So:  The correct answers are: _________________  " (x − 13) ° = 53 ° " ;   → Double check by substituting our value of "66" for "x" :  " (66 − 13) =? 53 ?  Yes!  ; _________________  " x = 66 " ; _________________  " m∠2 = 55° " ; _________________  " m∠1 = 55° " . _________________Hope these answers—and explanations—are helpful!   Best wishes!_________________

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