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Because they are isosceles and congruent, look at the two 65's. Now what plus 10 will equal 55. Because they are congruent, (same size, same shape) the angles are the same, which means it has to be 65. So, x=10 = 65.
x+10=65
x=55
\(\bf \measuredangle A{\color{blue}{ B}}C \cong \measuredangle D{\color{blue}{ E}}F\qquad thus\qquad {\color{blue}{ B}}={\color{blue}{ E}}\implies 65=x+10\) solve for "x"
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