Answer:
A
Step-by-step explanation:
Tangents drawn to a circle from an external point are congruent, thus
the triangle formed by the 2 tangents is isosceles with base angles of 74°
m = 180° - (74 + 74)° = 180° - 148° = 32° ( sum of angles in Δ )
The value of the measured angle of m is 32°.
A tangent of a circle is defined as a single point where a single straight line touches or intersects the circle. A line that never touches the inside of the circle is called a tangent.
The line connecting the outer point will cut the angle between the tangents in bisect and the center are equal to each other.
According to the given figure as
A circle with center O,
Since there are two tangents to the circle drawn from an external point.
therefore the lengths of tangents drawn from an external point to a circle are equal.
So, the triangle formed by the 2 tangents is isosceles with base angles of 74°
We know that sum of angles in the triangle is 180 degrees
So ∠ m = 180° - (74 + 74)°
⇒ ∠ m = 180° - 148°
⇒ ∠ m = 32°
Hence, the value of the measured angle of m is 32°.
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