Question

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

Answer 1

I hope this helps you

Answer 2

Answer:

1). x = 43

2). x = 15

Step-by-step explanation:

1. By the theorem of secants and intercepted arcs,

angle inscribed by the secant and tangent = $\frac{1}{2}(\text{Difference of arcs}$

52 = $\frac{1}{2}(190-2x)$

52×2 = (190 - 2x)

- 2x = 104 - 190

- 2x = - 86°

x = $\frac{86}{2}=43$

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

(5x - 6) = $\frac{1}{2}(101+37)$

5x - 6 = $\frac{138}{2}=69$

5x = 69 + 6

5x = 75

x = $\frac{75}{5}$

x = 15