Answer: 150 degree. (D)
Step-by-step explanation:
From the diagram provided above,
In the theorem of a triangle, the sum of the opposite interior angle of a triangle equals to the exterior angle of that triangle.
Therefore, the interior opposite angle of this triangles are
(x + 40) degree and (3x + 10) while the exterior angle = 6x degree.
Base on the theorem above
x + 40 + 3x + 10 = 6x
then solve for x
4x + 50 = 6x
6x - 4x = 50
2x = 50
divide by 2
x = 50/2
x = 25.
Therefore , the exterior angle in the diagram = 6 x 25
= 600/4
= 150 degree.
The value of the exterior angle is 150 degree
