Question

Find the angle of X using the Thale's theorem

Answer 1

In geometry, Thales's theorem states that if A, B, and C are distinct points on a circle where the line AC is a diameter, the angle ABC is a right angle. Thales's theorem is a special case of the inscribed angle theorem and is mentioned and proved as part of the 31st proposition in the third book of Euclid's Elements.[1] It is generally attributed to Thales of Miletus, but it is sometimes attributed to Pythagoras.

Answer 2

Answer:

Hope this helps you

Step-by-step explanation:

To prove the Thales theorem, draw a perpendicular bisector of ∠

Let point M be the midpoint point of line AC.

Also let ∠MBA = ∠BAM = β and ∠MBC =∠BCM =α

Line AM = MB = MC = the radius of the circle.

ΔAMB and ΔMCB are isosceles triangles.