Answer:
28 degrees
Step-by-step explanation:
If two parallel lines are cut by a transversal, then the pairs of corresponding angles are congruent.The corresponding angles are the ones at the same location at each intersection.
In the figure ABD and EDF are corresponding angles. So they are equal
So equation the angle ABD and EDF , we get
(3x+4) = (7x-20)
Group the like terms,
3x-7x = -20-4
-4x = -24
x = 6
Thus BCD will be,
(6x - 8)
=>(6(6)-8)
=>(36-8)
=> 28 degrees
We have to check which of PEMDAS rules can be applied in this case. We have only ADDITION. In this case we can observe that addition is:
1. Associative
2. Commutative
3. has Additive property
2 units down means y is decreased by 2
3 units left mean x is decreased by 3
So
for
The translation is
Using the definition of vertical angles you can set up the equation 3x+4=115, when solved you get x=37. Hope this helps!