Answer:

All three angles of the triangle are 20°, 100°, and 60°.

Step-by-step explanation:

Given that exterior angle = 120°

Also, the ratio of opposite interior angles = 1:5

Let us take the ratio in terms of x

Therefore, the ratio is 1x:5x

We know, the sum of opposite interior angles = exterior angle

1x + 5x = 120

6x = 120

x = 120/6

x = 20

Put x = 20 in 1x and 5x to get the angles

1x = 1 * 20 = 20°

5x = 5 * 20 = 100°

Additionally, you can find the third angle using the angle sum property:

20° + 100° + third angle = 180°

third angle = 180° - 120°

third angle = 60°

Therefore, the angles of the triangle are 20°, 100°, and 60°.

Answer:

Interior angles : 20,100,60

Exterior angles: 120

Step-by-step explanation:

1:5 so lets take it as 1x and 5x

1x+5x=120 ( exterior = sum of opposite interior angles)

6x = 120

x= 120÷6

x =20

1x=20

5x= 5×20 = 100

to find another interior angle = 20+100 + y ( another angle =y)

120+y=180

y = 180-120=60

y= 60