Question

one exterior angle of a triangle is 120 degree and the interior opposite angle are the ratio 1 : 5 find the angle of the triangle ​

Answer 1

Answer:

exterior angle = sum of two opposite interior angles

120 = 1x + 5x

120 = 6x

120/6 = x

x = 20

Step-by-step explanation:

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

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Answer 2

Step-by-step explanation:

we know that sum of two interior angles is equall to the exterior angle

now according to question

1x + 5x = 120

6x = 120

x = 20

putting value of x

required two angles are 20°& 100°

now by angle sum property of triangle

100 + 20 + x = 180

x = 60°

thus required angles are

20° , 100°, 60°