Question

One of the exterior angles of a triangle is 120° and the interior opposite angles are
in the ratio 1:5. Find the angles of the triangle.
​

Answer 1

Step-by-step explanation:

exterior angle = sum of two opposite interior angles

120 = 1x + 5x

120 = 6x

120/6 = x

x= 20

angles are 20 and 100

angle sum property of a triangle = 180 =

100 + 20 + x = 180

120 + x = 180

x = 60

the third angle of a triangle = 60 degrees