Question

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On circle O below, ZX is a diameter. The measure of ZY is 104∘
What is the measure of∠OZY?

Answer 1

Answer:

angle ZYX is 90° because ZY is a diameter of a circle.

Construction - join OY such that OY perpendicular to ZX and angle YOZ is 90°.

Now,, OZ= OY (radius of the circle).

THEN, ANGLE OZY = ANGLE OYZ =x°.

In ∆ZOY,

ANGLE OZY +ANGLE OYZ + ANGLE ZOY = 180.

; x° + x° 90° = 180°.

; 2x° = 90.

; x° = 45°.

THEREFORE, ANGLE OZY IS 90°.