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2 years ago

Measure of arc CF

Mathematics

1 answer:

Lemur [1.5K]2 years ago

6 0

Answer:

Step-by-step explanation:

The measure of an angle formed by a Secant and a tangent drawn from the outside point of a circle is half the difference of the intercepted arcs.

$\sf \angle E =\dfrac{arc \ CF - arc \ DF}{2}$

$\sf53 =\dfrac{arc \ CF-41}{2}$

53*2 = arc CF - 41

106 = arc CF - 41

106 + 41 = arc CF

$\sf \boxed{\bf \ arc \ CF = 147^\circ}$

9) If two secants inside a circle, then the angle formed is equal to the half of the sum of intercepted arcs.

$\sf 5x - 7 = \dfrac{27+119}{2}\\\\ 5x - 7 = \dfrac{146}{2}$

5x - 7 = 73

5x = 73 + 7

5x = 80

x = 80/5

$\sf \boxed{\bf \ x = 16^\circ }$

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