Question

ST is tangent,
angle o =x-40° ,find x

Answer 1

Answer: x = 65

Step-by-step explanation:

angle T + O + x = 180

=90 + x - 40 + x = 180

= 2x + 50 = 180

= 2x = 180-50 = 130

= x= 130/2 = 65

Answer 2

Answer:

In ∆ SOT

Step-by-step explanation:

As. Angle OTS=90°. (Angle between tangent and radius is perpendicular)

<SOT + <OTS +< YSO= 180°. Angle sum property of triangle

x- 40° + 90° + x = 180°

2x- 40° = 180° -90°

2x = 90° +40°

x= 130°÷2

x = 65

So the value of X is 65