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{{ printedBook.courseTrack.name }} {{ printedBook.name }} We want to find the value of $x$ and the measures of the interior angles for the given triangle.

The interior angles theorem tells us that the measures of the interior angles of a triangle must add to $180_{∘}.$ Applying the theorem, we can create an equation by adding the given expressions and equating the sum to $180.$ We notice that one of the angles is a right angle, and therefore its measure is $90.$ $(2x+4)+(5x−5)+90=180$ Let's solve the equation for $x.$$(2x+4)+(5x−5)+90=180$

RemoveParRemove parentheses

$2x+4+5x−5+90=180$

AddSubTermsAdd and subtract terms

$7x+89=180$

SubEqn$LHS−89=RHS−89$

$7x=91$

DivEqn$LHS/7=RHS/7$

$x=13$