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Find the value of x


x =

Find the value of x x =-example-1
User Ekstrakt
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Answer:


\large\boxed{\tt x^(\circ)= 90^(\circ)}

Explanation:


\textsf{We are asked to find the value of x.}


\textsf{The value of x is an angle for this triangle.}


\textsf{Note that we are given 2 other angles, we can use what is given to us to solve for x.}


\large\underline{\textsf{What is a Triangle?}}


\textsf{A Triangle is a shape with 3 sides, and 3 angles. Sometimes these can be congruent,}


\textsf{other times, and most of the time they're not. These are called Equilateral}


\textsf{Triangles. Every Triangle consists of 3 angles that add up to 180}^(\circ). \ \textsf{If the angles}


\textsf{don't add up to 180}^(\circ), \ \textsf{then the shape is not a triangle.}


\textsf{Now that we know a Triangle has 3 angles that add up to 180}^(\circ), \ \textsf{we can create an}


\textsf{equation where x is the \underline{subject}.}


\large\underline{\textsf{Solving;}}


\textsf{All 3 angles add up to 180}^(\circ), \ \textsf{let's create an equation.}


\tt 180^(\circ) = 37^(\circ) + 53^(\circ) + x^(\circ)


\textsf{To make x the subject, move x to the other side of the equation by subtracting x.}


\tt 180^(\circ) - x^(\circ)= 37^(\circ) + 53^(\circ) + x^(\circ) - x^(\circ)


\textsf{We should also move 180}^(\circ) \ \textsf{to the other side of the equation as well.}


\tt 180^(\circ) - 180^(\circ) - x^(\circ)= 37^(\circ) + 53^(\circ) -180^(\circ)


\underline{\textsf{We should have;}}


\tt- x^(\circ)= -180^(\circ) + 37^(\circ) + 53^(\circ)


\textsf{We should remove the negative for x by dividing the whole equation by -1.}


(\tt- x^(\circ)= -180^(\circ) + 37^(\circ) + 53^(\circ))/(-1) \rightarrow \tt x^(\circ)= 180^(\circ) - 37^(\circ) - 53^(\circ)


\underline{\textsf{Simplify the right side of the equation;}}


\large\boxed{\tt x^(\circ)= 90^(\circ)}

User Satyajeet
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