ANSWER
• x = 10.83
,• ∡A = 65º
EXPLANATION
The sum of the measures of the interior angles of any triangle is 180º:
[tex]\measuredangle A+\measuredangle B+\measuredangle C=180º[/tex]Replacing with the angles we know (B and C):
[tex]\measuredangle A+75º+40º=180º[/tex]And solving for ∡A:
[tex]\begin{gathered} \measuredangle A=180º-75º-40º \\ \measuredangle A=65º \end{gathered}[/tex]Then we know that ∡A = 6x, so x is:
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