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Find the value of x and the measure of Arc AD

Find the value of x and the measure of Arc AD-example-1
User Perrosnk
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First DB is a chord.

Line AC divide the chord DB into two equal length.

Hence

DE = EB

11x - 33 = 8x + 9

Collect like terms

11x - 8x = 9 + 33

3x = 42

x = 42/3

x = 14

Arc of AD

A circle is 360 degrees. Line AC divide circle into two semi circles. Hence, angle of a semi circle is 180 degrees.

Arc AD = 180 - 58 = 122

User Amarnath Harish
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3.5k points