(i) In the above question, we have

1^st interior angle = x, 2^nd interior angle = 50^o and 3^rd interior angle = 60^o

We have to find out the value of x

Thus,

x + 50^o + 60^o = 180^o (angle sum property of triangle)

x + 110^o = 180^o

x = 180^o – 110^o

x = 70^o

Hence, the value of x is 70^o

(ii) In the above question, we have

1^st interior angle = x, 2^nd interior angle = 90^o and 3^rd interior angle = 30^o

We have to find out the value of x

Thus,

x + 90^o + 30^o = 180^o (angle sum property of triangle)

x + 120^o = 180^o

x = 180^o – 120^o

x = 60^o

Hence, the value of x is 60^o

(iii) In the above question, we have

1^st interior angle = x, 2^nd interior angle = 30^o and 3^rd interior angle = 110^o

We have to find out the value of x

Thus,

x + 30^o + 110^o = 180^o (angle sum property of triangle)

x + 140^o = 180^o

x = 180^o – 140^o

x = 40^o

Hence, the value of x is 40^o

(iv) In the above question, we have

1^st interior angle = 50^o, 2^nd interior angle = xand 3^rd interior angle = x

We have to find out the value of x

Thus,

50^o + x + x = 180^o (angle sum property of triangle)

2x + 50^o = 180^o

2x = 180^o – 50^o

2x = 130^o

x =

x = 65^o

Hence, the value of x is 65^o

(v) In the above question, we have

1^st interior angle = x, 2^nd interior angle = x and 3^rd interior angle = x

We have to find out the value of x

And,

x + x + x = 180^o (angle sum property of triangle)

3x = 180^o

x =

x = 60^o

Hence, the value of x is 60^o

(vi) In the above question, we have

1^st interior angle = x, 2^nd interior angle = 2x and 3^rd interior angle = 90^o

We have to find out the value of x

Thus,

x + 2x + 90^o = 180^o (angle sum property of triangle)

3x + 90^o = 180^o

3x = 180^o – 90^o

3x = 90^o

x =

x = 30^o

Hence, the value of x is 30^o