Question

Find the value of x


x =

Answer 1

`\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)}`