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Line segment BD is a diameter of circle E.


Circle E is inscribed with triangle B C D. LIne segment B D is a diameter. Line segments D C and C B are secants. Angle D B C is 51 degrees.

What is the measure of arc B C?


39°

78°

102°

129°



( not 129

Respuesta :

Answer:

B- 78

Step-by-step explanation:

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abidemiokin

The measure of arc B C is 39 degrees

Circle geometry

The triangle in the circle is a semi-circle, hence;

m<B + m<C +m<D = 180

Given the following parameters;

  • m<C = 90 degrees
  • m<B = 51 degrees


Determine the measure of m<D
m<D = 180 - (90 + 51)

m<D = 180 - (141)

m<D = 39 degrees

Hence the measure of arc B C is 39 degrees

Learn more on circle geometry here: https://brainly.com/question/24375372

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