Answer:

Step-by-step explanation:
Let the angle between
and 150° be = b°
[ Forming a linear pair of angles]
Solving for
by subtracting both sides by 150.

∴ 
[Angle lying on a straight line add up to 180]
Plugging in 

Solving for
by
subtracting both sides by 80.

then dividing both sides by 2.

Answer: 96°
Step-by-step explanation:
If a triangle is being drawn, Angle A and C will be the two remote interior angles in the triangle. The sum of the two interior angles has to equal to the exterior angle.
Set them equal each other and solve for x.
(3x-6) + (6x +12) = 12x - 24 Combine like terms
9x + 6 = 12x - 24 Subtract 6 from both sides
- 6 -6
9x = 12x - 30 Subtract 12x from both sides
-12x -12x
-3x = -30 Divide both sides by -3
x = 10
Now since x is 10 degrees we will need to input the value into in for x in the exterior angle expression and break it down.
Exterior : 12(10) - 24
120 - 24 = 96
This means the measure of the exterior angle at vertex B is 96 degrees.
Answer:

Step-by-step explanation:
We know that,

where,
r = radius,
θ = central angle in radian.
Given,
diameter = 6 m, so radius = 3 m.

Putting the values,


