Question

1. Find the value of x in the figure below. Show all steps. (Left)

2. Find the value of x in the figure below. Show all steps. (Right)
Please show all of the steps.
Thank you

Answer 1

I hope this helps you

Answer 2

1). x = 43

2). x = 15

Explanation:

1. By the theorem of secants and intercepted arcs,

angle inscribed by the secant and tangent =
`(1)/(2)(\text{Difference of arcs}`

52 =
`(1)/(2)(190-2x)`

52×2 = (190 - 2x)

- 2x = 104 - 190

- 2x = - 86°

x =
`(86)/(2)=43`

2. By the theorem of two intersecting chords inside a circle,

(5x - 6) =
`(1)/(2)(101+37)`

5x - 6 =
`(138)/(2)=69`

5x = 69 + 6

5x = 75

x =
`(75)/(5)`

x = 15