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Find the value of each variable in the figure on the right.7034YX

Find the value of each variable in the figure on the right.7034YX-example-1

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By theorem, we have that angles that oppose the vertex and are defined by the same segments are the same, therefore x = y. [Angles opposite by vertex]

We also have that x is given by:


74+34+x=180\Rightarrow x=72

So x = 72°, that is since the sum of all internal angles in a triangle add 180.

User Gregers
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