Question

Use the image to solve for x

Answer 1

x = 10

Explanation:

the chord- chord angle 60° is half the sum of the measures of the arcs intercepted by the angle and its vertical angle , that is

`(1)/(2)` (6x + 13 + 4x + 7) = 60

`(1)/(2)` (10x + 20) = 60 ← multiply both sides by 2 to clear the fraction

10x + 20 = 120 ( subtract 20 from both sides )

10x = 100 ( divide both sides by 10 )

x = 10