Question

An exterior angle of a triangle is 110 ,and one of the interior opposite angle is 30.Find the other two angles of the triangle

Answer 1

Let the other interior opposite angle= x

30 degrees+ x=110 degrees

x= 110 degrees - 30 degrees

x= 80 degrees

Therefore the other interior angle=80 degrees

To find the last angle we can apply the angle sum property----

The sum of all angles of a triangle = 180 degrees

Let the unknown angle= y

30 degrees+80 degrees+y=180 degrees

110 degrees+y=180 degrees

y=180 degrees- 110 degrees

y=70 degrees

Therefore the last angle=70 degrees