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

What is the measure of angle x? Please help asap! Khan academy question!-example-1

2 Answers

4 votes

Answer:

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

User Michal Wilkowski
by
4.2k points
5 votes

Answer:


\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°

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User Vyrp
by
4.7k points