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Semenov [28]
3 years ago
5

Line ET is tangent to circle A and T, and the measure of arc TG is 46 degrees. What is the measure of Angle GET

Mathematics
1 answer:
kogti [31]3 years ago
7 0

Answer:

m\angle GET=67^o

Step-by-step explanation:

<u><em>The picture of the question in the attached figure</em></u>

we know that

The measure of the external angle is the semi-difference of the arches it covers.

so

m\angle GET=\frac{1}{2}[arc\ TN-arc\ TG]

Remember that the diameter divide the circle into two equal parts

In this problem

TN is a diameter

we have

arc\ TN=180^o ----> because is half the circle (TN is a diameter)

arc\ TG=46^o ---> is given

substitute

m\angle GET=\frac{1}{2}[180^o-46^o]=67^o

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