All triangles have angles that add up to 180, so we can take the top triangle, which has angles 14, 45, and x, and say they add up to 180, so 180-14-45=x and x = 121. For E, all angles that look like that and have opposite angles, then these opposites are equal, so both sides of E are 121. then we use the bottom triangle to solve for D with the fact that all triangles' angles add to 180 again. 180-27-121 = D, so D=32
Answer:
- Inverse Variation
- Equation: 
Step-by-step explanation:
Given
X-> 2 | 4 | 8 | 12
Y-> 6 | 3 | 3/2 | 1
Required
- State the type of variation the table represents
- Determine the equation to model the data
To check for type of variation; we'll make use of trial by error method.
To start with; We'll check for direct variation.
This is done using the following expression;
where k is the constant of variation
Make k the subject of formula

When Y = 6, X= 2

When Y = 3, X = 4

There's no need to check further as both values of k are not equal
To check for inverse variation;

Make k the subject of formula

When Y = 6, X= 2

When Y = 3, X = 4

When Y = 3/2; X = 8

When Y = 1, X = 12

Note that for all values of X and Y, K remains constant;
Hence, the table represents an inverse direction
To determine the equation;
We make use of 
Substitute 12 for k
So, the equation becomes

Reorder

Hence, the equation is 