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18 votes
18 votes
Find X using the diagram.

Find X using the diagram.-example-1
User Mark Wagner
by
3.0k points

1 Answer

12 votes
12 votes

Answer:

58°

Explanation:

Refer to the letters in my diagram.

Angle AOB measures 64°. Angle ACB, since itis a circle angle o nthe same chord AB, measure half of it, or 32°.

Furthermore, angle ABC is a right angle since triangle ABC has side AC on a diameter and B on the circle.

Now, since the sum of all internal angles in a triangle is 180°, we have ,
x+32\°+90\°=180\°\rightarrow x = 58°

Find X using the diagram.-example-1
User Kartoch
by
3.2k points