SOLUTION: This is the math question: Find the measures of the labeled angles. The figure sows an X shape with (x+90�) on the left, and 6x� on the right side. It�s asking for what (x+90�) equ

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Question 1092997: This is the math question: Find the measures of the labeled angles. The figure sows an X shape with (x+90�) on the left, and 6x� on the right side. It�s asking for what (x+90�) equals, and what 6x� equals as well. In the picture the angles look congruent. NOTE �� is the symbol for degrees. I�ve trued everything. I�ve tried making it (6x^2+90) and I got a long number that will not be accepted. Can you possibly help me out?
Answer by KMST(5328) (Show Source):
You can put this solution on YOUR website!
If the figure looks like this
, the angles marked with red arcs
have sides made from the same two straight lines,
but the only part they have in common is their vertex.
In English I have seen them called "vertical angles."
The "vertical" part refers to their vertex.
In Spanish, I have heard them called "opuestos por el vertice."
Teachers like you to remember the names they told you in class.
Whatever you call them, those angles are mirror images of each other,
so by flipping (or rotating around the vertex) one of those angles,
it can be exactly superimposed on the other.
A teacher would call them "congruent."
That means that they have the same measure, so
, and that is the equation to solve to find .
Solving:

So, the measure of each of those angles is
.