Answer:
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
∵ [tex]\frac{12x}{12}[/tex] = [tex]\frac{60}{12}[/tex]
∴ x = 5
∴ The value of x = 5
Look at the attached figure for more understanding
