Find the measure of angle x in the figure below:
Two triangles are shown such that one triangle is inverted and they share a common vertex. The lower triangle has two angles at the base. The lower left angle is marked as 55 degrees. The lower right angle is marked as 30 degrees. The angle at the vertex of the inverted triangle at the top is marked as x degrees.
95°
55°
30°
85°
Since the sum of the angles in a triangle is always 180°, we can find the measure of angle x by subtracting the other two angles from 180°.
x = 180° - 55° - 30°
x = 180° - 85°
x = 95°
Therefore, the measure of angle x is 95°.