Answer:
x = 18 degrees
Step-by-step explanation:
because lines n and m are parallel, 3x and 126 are same side interior angles. This means that when added up they equal 180, so make an equation as so:
3x + 126 = 180
Solve for it and x will equal 18.
The question is worded poorly, but it looks like you have a lever in equilibrium, with a force x at a distance d from the fulcrum, and a force y at a distance L - d from the fulcrum. You already have the equilibrium formula for this situation:
xd = y(L - d)
If you know x, y, and d, you can solve for the length L.
Answer:
216 sq. units
Step-by-step explanation:
From the figure, we can see that only one pair of opposite angles are equal. So, the quadrilateral is a kite.
Formula to find the area of a kite:
Area, A = 
where,
and
are the lengths of the diagonals.
Here,
units.
And,
units.
Therefore, the area A = 
= 
= 216 sq. units which is the required answer.