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Find the value of y.
Answer options: 62, 66, 70, 74

Find the value of y. Answer options: 62, 66, 70, 74-example-1
User Birchlabs
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2 Answers

3 votes

Answer:

70

Explanation:

User YAKOVM
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Answer:

The value of y = 70°

Explanation:

∵ The measure of the major arc = 160 + 60 = 220°

∵ The measure of the circle is 360°

∴ The measure of the minor arc = 360 - 220 = 140°

∵ y is the angle between a chord and a tangent

∵ The chord subtended by the arc of measure 140°

∵ y is subtended by the arc of measure 140°

∵ Angle of tangent subtended by an arc,

its measure = half the measure of the subtended arc

∴ The measure of y = 1/2 the measure of the subtended arc

∴ y = 1/2 × 140 = 70°

User Rajeev Kumar
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