The diagram shows to triangles connected at one vertex. The tops of the triangles are both right angles. The angles closest to the vertex are 30 degrees and the other is a variable (c).

I'm confused on how to find the value of c, without the value of the space between c and the 30 degree angle.

To find the value of angle c in the given diagram, we can utilize the concept of supplementary angles. According to the diagram, we have two triangles connected at one vertex, with both tops being right angles. Let's denote the angle closest to the vertex as angle c and the other angle as 30 degrees.

Since the tops of the triangles are right angles, the sum of the angles in each triangle is 180 degrees. Therefore, in triangle 1, we have:

Angle c + 90 degrees + 30 degrees = 180 degrees

Simplifying the equation, we get:

Angle c = 180 degrees - 90 degrees - 30 degrees
Angle c = 60 degrees

Hence, the value of angle c is 60 degrees.