Question

How do I do this? Whats the answer?

Answer 1

`x^@=97`

Explanation:

Let the angle next to the angle `x^@` be A and the third and final angle inside the triangle be B

So `B=32^@` because it is vertically opposite angles

So `x^@` equals to `35+30+32` because exterior angle is equal to the sum of 2 opposite interior angles

therefore, `x^@=97`

Answer 2

`x = 97°`

Explanation:

Let's consider this as `DeltaABC`.

The measurement of `/_A` is 35 + 30, or 65 degrees.
The measurement of `/_C` is 32 degrees. We know this because it is a vertical angle to the given 32 degree angle (vertical angles are `~=`)

The exterior angle theorem states that the exterior angle of a given triangle is equal to the non-adjacent angles of the given triangle.

Based on said theorem, `x = /_A + /_C`
`x = 65 + 32`
`x = 97`