Question

Which equation can be used to solve for x?
Choose from the Equation Bank

Answer 1

`(x-14)/(2)=24`

Explanation:

In the given figure two secants are intersecting outside the circle.

Angle formed by these secants = 24°

Measure of arcs intercepted = x° and 14°

Formula to get the unknown chord is,

24° =
`(1)/(2)(x-14)`

Therefore, equation (2) given in the equation bank will be used.

By further solving for the value of x,

24×2 = ( x - 14)

48 = x - 14

x = 48 + 14

x = 62°