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Answer:
The value of x is 50
Step-by-step explanation:
- <em>A </em><em>secant</em><em> is a line that </em><em>intersects a circle</em><em> in exactly </em><em>two points</em><em>. </em>
- <em>When </em><em>two secants</em><em> intersect </em><em>outside a circle</em><em> then the </em><em>measure</em><em> of the </em><em>angle</em><em> </em><em>formed</em><em> between them is </em><em>one-half the positive difference of the measures of the intercepted arcs</em>
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 = (130 - 30)
∴ x = (100)
∴ x = 50
∴ The value of x is 50