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15-04-2020
Mathematics

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The arc shown is 140 degrees. Find the measure of angle 1.

The arc shown is 140 degrees Find the measure of angle 1 class=

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15-04-2020

The angle subtended by two chords is half the enclosed arc measure. If we imagine one of the chords getting shorter and shorter this remains true. In the limit the shrinking chord becomes a tangent, and the angle is still half the arc measure.

Answer: 70 degrees

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