jocemarieball jocemarieball
  • 01-07-2021
  • Mathematics
contestada

if the measure of angle def is 65° what is the measure of arc de?

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ChinChin0715
ChinChin0715 ChinChin0715
  • 01-07-2021

EF is tangent to the circle we'll assume; otherwise there's no progress.

Call the center C. ECD is isosceles, formed from two radii and the chord.

Angle CED is complementary to DEF

CED = 90 - 65 = 25 degrees

CDE is congruent, isosceles triangle and all that: CDE=25

That leaves DCE=180-25-25=130 degrees

That's the measure of arc DE as well:

Answer: 130 degrees, choice A

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Loldufu Loldufu
  • 09-08-2021

Answer:

130

Step-by-step explanation:

Answer Link

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