Step-by-step explanation:
∠A + ∠B + ∠C = 180°
Here the value of ∠B and C is given below...we need to find the value of ∠A ....
a + 120° + 40° = 180°
a + 160° = 180°
a = 160° - 180°
a = 20°

The issue with using the side-splitter to solve for x is that the side-splitter theorem is used to find lengths of the sides being split by parallel lines. In this case, the x is on a line that is parallel and thus could not be solved for using this theorem.
If we created a triangle where the tops of the non-parallel lines connected, we would be able to compare the following and solve:

However, none of this would help us solve for x using this theorem.
Answer:
The slope is -2/9
Step-by-step explanation:
9y + 2x = 54
Solve for y to get the equation in the form
y = mx+b where m is the slope and b is the y intercept
Subtract 2x from each side
9y + 2x -2x = -2x+54
9y = -2x+54
Divide by 9
9y/9 = -2x/9 + 54/9
y = -2/9 x +6
The slope is -2/9
Parallel lines have the same slope
(csc x-1)(csc x+1)=csc²x-1²=csc²x-1=(1/sin x)² -1=1/sin x² - sin²x/sin²x=
=(1-sin²x)/sin² x = cos² x/ sin² x = (cos x/sin x)²= (cot x)²
Answer
4 = ax - 14
18 = ax
x = 18/a or 4
Step-by-step explanation: