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Angelina_Jolie [31]
2 years ago
5

Lines CD and DE are tangent to circle A, as shown below:

Mathematics
1 answer:
Paraphin [41]2 years ago
6 0

Using the outside angle theorem, the measure of angle CDE is: 70°.

<h3>How to Apply the Angle of Intersecting Tangents Theorem?</h3>

According to the angle of intersecting tangents theorem, we would have the following equation using the diagram given:

Angle CDE = ½(measure of arc CBE - measure of arc CE)

Given the following:

  • Measure of arc CE = 110°
  • Measure of arc CBE = 360 - 110 = 250°

Plug in the values into the equation

Angle CDE = ½(250 - 110)

Angle CDE = 70°

Learn more about the angle of intersecting tangents theorem on:

brainly.com/question/11356657

#SPJ1

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\setlength{\unitlength}{1cm}\begin{picture}(0,0)\thicklines\multiput(0,0)(0,3){2}{\line(1,0){4}}\qbezier(0,0)(0,0)(4,3)\qbezier(1,0)(1.2,0.35)(0.8,0.6)\qbezier(3,3)(2.8,2.65)(3.2,2.4)\put(2.5,0.02){\vector(1,0){0}}\put(1.5,3.02){\vector(-1,0){0}}\end{picture}

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Read 2 more answers
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