Question

HELP!!!!!!!!! I DONT UNDERSTAND THIS

Answer 1

`x=86^(\circ)`

`y=94^(\circ)`

`z=54^(\circ)`

Explanation:

First, let's look at the largest triangle (two smaller triangles are combined) to solve for
`z`. Since the sum of the angles in a triangle adds up to
`180^(\circ)`, we can write the equation:

`20+74+32+z=180`

`z=180-126`

`z=54^(\circ)`

Looking at the smaller triangle on the left,
`y` (exterior angle) is the sum of the two opposite interior angles of the triangle on the left:

`y=74+20`

`=94^(\circ)`

Since
`x` is the exterior angle of the triangle on the right, it is equivalent to the sum of the opposite interior angles of that triangle:

`x=32+z`

`=32+54`

`=86^(\circ)`

Hope this helps :)