Math, asked by ac228248, 1 year ago

in a regular pentagon ABCDE inscribed a circle find ratio between angle EDA and angle ADC

Answers

Answered by jefferson7
5

In a regular pentagon ABCDE inscribed a circle find ratio between angle EDA and angle ADC

Step-by-step explanation:

Arc AE substends Angle AOE at the centre and Angle ADE at the remaining part of the circle.

Therefore Angle ADE = 1/2 ∆AOE

=1/2 *72°

=36°

∆ADC =∆ADB + ∆BDC

=36° +36° +72°

Therefore ∆ADE : ∆ADC =36:72

=1:2

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