supremeaiden supremeaiden
  • 22-06-2021
  • Mathematics
contestada

Determine the measure of

CD
from the diagram below.

Determine the measure of CD from the diagram below class=

Respuesta :

eudora eudora
  • 27-06-2021

Answer:

m(arc CD) = 112°

Step-by-step explanation:

Use the property of intersecting chords and angles between these chords,

m∠CED = [tex]\frac{1}{2}(\text{arc CD}+\text{arc}AB)[/tex]

m∠CED + m∠AED = 180°

80° + m∠CED = 180°

m∠CED = 100°

Now substitute the measure of angle CED and arc AB in the expression,

100° = [tex]\frac{1}{2}(88^{\circ}+\text{arc CD})[/tex]

200° = 88° + m(arc CD)

m(arc CD) = 112°

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