Solve for x 30 150 12x

The value of x is 5

Step-by-step explanation:

In the given figure

∵ There is a pair of linear angles, one of them = 150°

∵ The sum of the measure of the linear angles = 180°

∴ The measure of the adjacent angle to 150° = 180° - 150°

∴ The measure of the adjacent angle to 150° = 30°

In the triangle

∵ The angle of measure 12x is an exterior angle of the triangle

∵ The measure of the exterior angle at a vertex of a Δ equals the sum

   of the measures of the opposite interior angles to this vertex

∵ The measures of the opposite angles of the angle of measure 12x

   are 30 and 30

∴ 12x = 30 + 30

∴ 12x = 60

→ Divide both sides by 12

∵ =

∴ x = 5

∴ The value of x = 5

Look at the attached figure for more understanding

12cm

the answer is d