Answer: 4 (OPTION 2)
Step-by-step explanation:
1. To solve this problem you must apply the Intersecting secants theorem, as you can see below:
Where:
2. Then you must susbstitute values and solve for x, as following:
Therefore the answer is the second option.
Answer:
∠A=123°.
Step-by-step explanation:
From the given figure it is clear the CD and CE are two tangent lines on circle with center A.
Radius is perpendicular to the tangent at the point of tangency.
Smaller arc DE = (5x-2)°
It means central angle DAE is (5x-2)°.
Now, ADCE is a quadrilateral and sum of all angles of a quadrilateral is 360 degrees.
The value of x is 25.
Therefore, the measure of ∠A is 123°.