Question

Find the value of x.
71
O
(16x-2)
x=

Answer 1

x = 9

Explanation:

m<K = 71°

arc JL = 16x - 2

m<k = ½(arc JL) => inscribed angles theorem

Substitute

71 = ½(16x - 2)

Multiply both sides by 2

71*2 = 16x - 2

142 = 16x - 2

Add 2 to both sides

142 + 2 = 16x - 2 + 2

144 = 16x

Divide both sides by 16

144/16 = 16x/16

9 = x

x = 9