Question

in a triangle,one exterior angle is 135.if one of the opposite interior angle is 60,which are ths other two angles of the triangle?

Answer 1

let the second interior angle be x
then,135=60+x
x=75
Now third angle of the triangle =180-(60+75)
=45
(Because sum of exterior angle = sum of interior angles of a triangle

Answer 2

Sum of the two interior angle is equal to exterior angle.
Therefore x+60=135
X=135-60
X=75
Now, sum of the angle of triangle is equal to 180
Therefore x+60+75=180
Y=180-135
Y=45
-: other two angle are 75 and 45