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3 years ago

WZ and XR are diameters what is thr measure of ZWX?

Mathematics

1 answer:

castortr0y [4]3 years ago

8 0

Answer:

mZWX = 214°

Step-by-step explanation:

In a circle C, XR and WZ are two diameters.

∠ XCW = 34° and ∠ YCZ = 86°

We have to find the measure of arc ZWX

Since ∠XCW + ∠XCY + ∠YCZ = 180° [ angles on a straight line ]

34° + ∠XCY + 86° = 180°

120° + ∠XCY = 180°

∠XCY = 180 - 120 = 60°

Now arc ZWX = 360° - (∠XCY + ∠ YCZ)

= 360° - (60° + 86°)

= 360° - 146°

= 214°

Therefore answer is arc ZWX = 214°

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