Question

What is the measure of angle x? Please help asap! Khan academy question!

Answer 1

38°

Explanation:

90-58

I'm unsure if that's right but i think it is. otherwise 180-58 but angle x should be the rest of the angle in KAI

Answer 2

`\boxed{\boxed{\tt \angle x=32^(\circ)}}`

Explanation:

From the diagram given, we know that ∠BAC and ∠IAK are vertical angles.

*Vertical angles are two lines that intersect each other.*

So ∠BAC is equal to ∠IAK.

`\tt \overline{KL} \perp \overline{FG}` so, ∠ABC =90°

(Interior angles in a triangle always add up to 180°).

`\tt \angle BAC+\angle ABC+\angle BCA=180^(\circ)`

`\tt 58+90+\angle BCA=180^(\circ)`

`\tt \angle BCA=32^(\circ)`

∠BCA and ∠x are vertical angles, therefore they are congruent.

∠BCA and ∠x= 32°

______________________________________