Question

find the values of x if line L is parallel to line m.​

Answer 1

Answer:

(a) HERE, x and 1/2 x are co-exterior angles.

Hence, they are supplementary and add up to 180°

ie, x + 1/2 x = 180

ie, x + x/2 = 180

ie, 2x/2 + x/2 = 180

ie, 3x/2 = 180

ie, 3x = 180 × 2

ie, 3x = 360

ie, x = 360/3

ie, x = 120

(b)HERE, x and 1/2 x are co-interior angles.

Hence, they are supplementary and add up to 180°

ie, x + 4x = 180

ie, 5x = 180

ie, x = 180/5

ie, x = 36

(c)HERE, x and 1/2 x are co-exterior angles.

Hence, they are supplementary and add up to 180°

ie, 3x + 20 + x = 180

ie, 4x + 20 = 180

ie, 4x = 180 - 20

ie, 4x = 160

ie, x = 160/4

ie, x = 40

HOPE IT HELPS.................