)Find the measure of angle x in the figure below: Two triangles are shown such that one triangle is inverted and they share a co
mmon vertex. The lower triangle has two angles at the base. The lower left angle is marked as 60 degrees. The lower right angle is marked as 50 degrees. The angle at the vertex of the inverted triangle at the top is marked as x degrees. The angle at the vertex of the bottom triangle is marked as y degrees.
So, we know that the internal angles of a triangle add up to 180 degrees, yes? 60 degrees plus 50 degrees equals 110 degrees, and subtract 110 from 180, and you get 70 degrees for angle y.
Now, if the triangles are congruent (identical) and the shape you are describing is like an hourglass, then because of the vertical angles theorem, angle x should be 70 degrees too!
