Question

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 = _______

Answer 1

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