Question

COLOR THEME

ZOOM
15. Find x. Assume that any segment that appears to be tangent is tangent.
o
60
R
S
o
T т
650
43
155
50
U
O
45

Answer 1

Option 4

Explanation:

"Angle formed between a secant and a tangent at a point outside a circle is equal to half of the difference of the measure of the intercepted arcs"

By applying this theorem in the figure given in the picture,

m∠RST =
`(1)/(2)[\text{m(arc TU - m(arc RT))}]`

`x=(1)/(2)(155-65)`

`x=(1)/(2)(90^0)`

`x=45^0`

Therefore, Option 4 is the correct option.