Answer:
The value of x is 50
Step-by-step explanation:
- A secant is a line that intersects a circle in exactly two points.
- When two secants intersect outside a circle then the measure of the angle formed between them is one-half the positive difference of the measures of the intercepted arcs
In the given figure
∵ Two secants intersected outside the circle
∵ The measures of the intercepted arcs are 30° and 130°
∵ x is the measure of the angle formed between them
→ By using the fact above
∴ x = [tex]\frac{1}{2}[/tex] (130 - 30)
∴ x = [tex]\frac{1}{2}[/tex] (100)
∴ x = 50
∴ The value of x is 50
