Question

Can someone please help me.Number 2.I just need to solve for x and y using trigonometry

Answer 1

Given the Right Triangle, you can identify that has two equal sides. Therefore, you can determine that it is a Right Isosceles Triangle.

By definition, a Right Isosceles Triangle has two equal sides and two equal angles, and the third angle measures 90 degrees (also called "Right Angle").

Therefore, you can determine that, in this case:

`x=y`

By definition, the sum of the interior angles of a triangle is 180 degrees. Then, knowing that a Right Isosceles Triangle has two equal angles and another angle that measures 90 degrees, you can set up this equation:

`x+y+90\text{\degree}=180\text{\degree}`
`x+x+90\text{\degree}=180\text{\degree}`

(Since "y" and "x" have the same measure, you can rewrite the equation using any of them, as you can see above)

Solving for "x", you get:

`2x=180\text{\degree}-90\text{\degree}`
`x=(90\degree)/(2)`
`x=45\degree`

Hence, the answer is:

`x=45\degree`
`y=45\degree`