Question

If angle EBD=360degree 'find angle 1 2 3

Answer 1

angle 2 = 36 degree
angle 1 = 108 degree
angle 3 = 36 degree
is it correct??
May this will help you

Answer 2

Hello......... ^_^

Here is your answer .....

Given:- angle EBD = 36 degree

As it is a regular pentagon so it all sides are equal and it's all interior angles are also equal.



to find each interior angle of any regular polygon
$use \: \: = > \frac{(number \: of \: sides \: of \: polygon - 2) \times 180}{number \: \: of \: \: sides \: \: of \: \: the \: polygon}$

so each interior angle of regular pentagon
$= \frac{(5 - 2) \times 180}{5} \\ \\ = \frac{3 \times 180}{5} \\ \\ = \frac{540}{5} \\ \\ = 108$
each interior angle of regular pentagon is 108 degree.

angle 1 = 108 degree

triangle ABE is isosceles triangle (angle BEA and ABE are equal)
angle A = 108 degree
so angle ABE+BEA = 180-108
ABE+BEA = 72 degree
as both angle ABE and BEA are equal
so angle ABE = 36 degree
and angle BEA = 36 degree


sum of angle ABE + angle EBD + angle DBC 108 degree

angle ABE = 36 degree
angle EBD = 36 degree

so angle DBC (3) = 108 - 36+36
= 108 - 72
= 36 degree




angle 1 = 108 degree
angle 2 = 36 degree
angle 3 = 36 degree




Hope it helps............. ^_^