The measure of x, that is, the angle OBA is equal to 22.5°.
What is the measure of the missing angle in geometrical system?
Herein we find a geometric system formed by a circle, a diameter and a chord. In the image attached below we present all the possible angles of the geometric system, formed by two isosceles triangles.
According to Euclidean geometry, an isosceles triangle has two sides and two angles of equal length. Then, the sum of the internal angles of the triangle AOB is equal to:
m ∠ AOB + m ∠ OBA + m ∠ OAB = 180°
135° + 2 · m ∠ OBA = 180°
2 · m ∠ OBA = 45°
m ∠ OBA = 22.5°
By taking advantage of the properties of isosceles triangles, the measure of x, that is, the angle OBA is equal to 22.5°.
To learn more on inscribed triangles: https://brainly.com/question/17228959
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