ind the measure of angle x in the figure below:

Question

Two triangles are shown such that one triangle is inverted and share a common vertex. The lower triangle has two angles at the base marked as 55 degrees each. The angle at the vertex of the inverted triangle at the top is marked as x degrees.

65°
70°
110°
125°

Answer 1

To find the measure of angle x, we first need to calculate the measure of the angle at the vertex of the lower triangle.

Since the sum of angles in a triangle is 180 degrees, the measure of the angle at the vertex of the lower triangle is 180 - 55 - 55 = 70 degrees.

Now, the angle at the vertex of the inverted triangle (angle x) is supplementary to the angle at the vertex of the lower triangle, which means they add up to 180 degrees.

So, x + 70 = 180
x = 180 - 70
x = 110

Therefore, the measure of angle x in the figure is 110 degrees. Hence, the answer is 110°.