Determine whether a tangent line is shown in this figure? a. no b. yes
2 answers:
Answer:
Option B is correct .i.e., Yes.
Step-by-step explanation:
We are given with length of three line segments .
10 , 6 and 8.
We use the result to check if one line is tangent or not.
Result: Tangent is perpendicular to radius at point of contact.
So if AB is tangent than ABO form a right angled triangle and AB is right angle.
AO² = 10² = 100
AB² + BO² = 8² + 6² = 64 + 36 = 100
Since AO² = AB² + BO²
According to Pythagoras theorem,
∠B is 90° which implies AB is tangents to circle.
Therefore, Option B is correct .i.e., Yes.
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Answer: x =104
Step-by-step explanation:
If we draw the black line shown in the figure, two isosceles triangles are formed, and the base angles of the isosceles triangles are the same. The red angles are the same and the green ones too. The 104 degree angle is the sum of the red angle and the green angle, and x is also the sum of the red angle and the green angle, therefore x = 104.
