Question

Solve for x in the triangle below. Show your work for full credit

Answer 1

`\sf\\\textsf{The square angle in the triangle indicates }90^o.\\\\\textsf{Since sum of angles of triangle equals }180^o,\\\\(8x+21)^o+45^o+90^o=180^o\\\textsf{or, }(8x+21)^o=45^o\\\textsf{or, }8x=24^o\\\therefore\ x=3^o`

Answer 2

x = 3

Explanation:

Since the sum of the interior angles of a triangle is always equal to 180°. This is regardless of the size or shape of the triangle.

In this case:

We can say that:

`\sf 45^\circ + 90^\circ + (8x+21)^\circ =180^\circ`

Simplify like terms:

`\sf 45^\circ + 90^\circ + 8x+21^\circ =180^\circ`

`\sf 156^\circ +8x = 180^\circ`

Subtract 156° on both sides:

`\sf 156^\circ +8x -156^\circ= 180^\circ- 156^\circ`

Simplify:

`\sf 8x = 24^\circ`

Divide by 8 on both sides:

`\sf (8x)/(8)=(24)/(8)`

`\sf x = 3`

Therefore, the value of x is 3.