Question

XY IS A DIAMETER OF THE CIRCUMCIRCLE TRIANGLE XYZ, THE ANGLE XZY=?​

Answer 1

Answer:

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Answer 2

$\angle XZY = 90$°

Step-by-step explanation:

XY IS A DIAMETER OF THE CIRCUMCIRCLE TRIANGLE XYZ

then,

In the case of a right triangle, the hypotenuse is a diameter of the circumcircle, and its center is exactly at the midpoint of the hypotenuse. This is the same situation as Thales Theorem, where the diameter subtends a right angle to any point on a circle's circumference.

hence ,

$\angle XZY = 90$°

note:

The circumcircle always passes through all three vertices of a triangle. Its center is at the point where all the perpendicular bisectors of the triangle's sides meet. This center is called the circumcenter

#Learn more:

In a triangle XYZ xy=4.8cm,angle x=60'.angle y=70'.draw the triangle and construct circumcircle

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