This is probably the answer I’m not 100% sure
Anyone out there to help me? Please.
1 answer:
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Answer:
Step-by-step explanation:
It is important to remember the definition of "Linear pair angles".
By definitiion "Linear pair angles" are two angles which are adjacents and supplementary.
Based on this, we know that the angles and
are supplementary, which means that they add up to 180 degrees.
So, knowing that:
We can write the following expression and solve for "x":
Therefore, substituting, we get that the measures of the angles and
are:
By induction:
It's true for
, since 
clearly contains a factor of 3.
Suppose it's true for
, that 
is divisible by 3. Then
where
is an integer. This reduces to
and both terms are clearly multiples of 3. We know that
is an integer since we had set 
previously, which implies is a multiple of 
. So the statement is true.
It's true for
Suppose it's true for
where
and both terms are clearly multiples of 3. We know that