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4. Consider the circle to the right.
Determine m∠KNY.
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WILL GIVE BRAINLIEST IMMEDIATELY 4 Consider The Circle To The Right Determine MKNY Show All Steps To Be Marked Brainliest I Will Give Brainliest As Soon As I Ca class=

Sagot :

Answer:

The measure of m∠KNY is;

(D) 105°

Step-by-step explanation:

From the diagram, we have;

The given angle at the circumference = The The angle the arcs makes at the center of the circle

From circle, theorem, angle subtended at the center = Twice the angle subtended at the circumference

Therefore;

Angle ∠D and angle ∠Y = 90°/2 = 45°

Angle ∠O and angle ∠K = 60°/2 = 30°

From angle summation theorem, we have;

m∠KNY + ∠K + ∠Y = 180° (The sum of the interion angles in ΔYNK

∴ m∠KNY = 180° - (∠K + ∠Y)

Plugging in the known values of ∠K and ∠Y gives;

m∠KNY = 180° - (30° + 45°) = 105°

m∠KNY = 105°.

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