Ugh I hate these... Inverse property of multiplication.
Answer:
Step-by-step explanation:
it represents a linear function
Answer:
Step-by-step explanation:
First, let's look at the largest triangle (two smaller triangles are combined) to solve for 
. Since the sum of the angles in a triangle adds up to 
, we can write the equation:
Looking at the smaller triangle on the left, 
(exterior angle) is the sum of the two opposite interior angles of the triangle on the left:
Since 
is the exterior angle of the triangle on the right, it is equivalent to the sum of the opposite interior angles of that triangle:
Hope this helps :)
Answer:
From the graph attached, we know that 
by the corresponding angle theorem, this theorem is about all angles that derive form the intersection of one transversal line with a pair of parallels. Specifically, corresponding angles are those which are placed at the same side of the transversal, one interior to parallels, one exterior to parallels, like 
and 
.
We also know that, by definition of linear pair postulate, 
and are linear pair. Linear pair postulate is a math concept that defines two angles that are adjacent and for a straight angle, which is equal to 180°.
They are supplementary by the definition of supplementary angles. This definition states that angles which sum 180° are supplementary, and we found that and together are 180°, because they are on a straight angle. That is, 
If we substitute for , we have 
, which means that and are also supplementary by definition.
