Maths Question

[abc123]

A regular pentagon is inscribed in a circle, centre O.
a. Show that angle COD=72. Hence or otherwise calculate the size of an interior angle of the pentagon.
b. Calculate showing your working clearly: (i) angle ACE (ii) angle OAD

 

[scouserlfc]

can u draw the figure using Paint software or something its difficult to know how the figure looks like,it would help us or if the figure is not there then tell us.

 

[scouserlfc]

can u tell whether the circle is touching the sides of pentagon or anything that helps me draw the figure.

 

[abc123]

i have drawn it the best i could

 

[scouserlfc]

any angles given in the question itself or this is all,sorry i keep asking.

 

[abc123]

its okay. No angles given.

 

[abcde]

A regular pentagon is inscribed in a circle, centre O.
a. Show that angle COD=72. Hence or otherwise calculate the size of an interior angle of the pentagon.
b. Calculate showing your working clearly: (i) angle ACE (ii) angle OAD

AoA!
(a) COD = 360*/5 =72* (since the pentagon is a regular one, each of it's five sides would subtend equal angles at the centre of the circle)
Interior angle of a regular pentagon = [(5 - 2) x 180] / 5 = 108*.
I'm drawing the answer for part (b). Kindly wait.

 

[abcde]

I hope this helps