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disa [49]
3 years ago
5

Circle A is shown. Tangents L M and N M intersect at point M outside of the circle. Arc L N is 270 degrees. In the diagram of ci

rcle A, what is m? 75° 90° 120° 135°

Mathematics
2 answers:
luda_lava [24]3 years ago
5 0

Answer:

\angle m=90^o

Step-by-step explanation:

The picture of the question in the attached figure

we know that

The measurement of the external angle is the half-difference of the arches that comprise

so

\angle m=\frac{1}{2}(major\ arc\ LN-minor\ arc\ LN)

Remember that the sum of the major arc and a minor arc is equal to 360 degrees

we have

major\ arc\ LN=270^o ----> is given

so

minor\ arc\ LN=360^o-270^o=90^o

substitute the values

\angle m=\frac{1}{2}(270^o-90^o)=90^o

Serga [27]3 years ago
5 0

Answer:

B

Step-by-step explanation:

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