The measure of an interior angle of a polygon is 4 times the measure of its exterior angle from the same vertex. Find both angles.


Int angle = _____ ext angle = _______

Respuesta :

let interior angle = I and exterior angle = E, then:-

I + E = 180
I  = 4E
Substututing for I:-
 4E + E = 180

E = 180/5 = 36 degrees

and I =  144 degrees

Int < = 144 and Ext <  = 36  answer