Find the value of K. The diagram is not to scale.

Question

Top triangle is K
Bottom left triangle os 42 degrees
Bottom right triangle is 64 degress

Answer 1

To find the value of K, we can use the fact that the sum of angles in a triangle is 180 degrees.

Let's consider the bottom left triangle. We know that one angle is 42 degrees. Let's call the other two angles x and y. Since the sum of angles in a triangle is 180 degrees, we have:

42 + x + y = 180

Similarly, for the bottom right triangle with one angle of 64 degrees, the sum of the other two angles is:

64 + x + y = 180

We can set up a system of equations with these two equations:

42 + x + y = 180
64 + x + y = 180

Subtracting the second equation from the first equation, we get:

(42 + x + y) - (64 + x + y) = 180 - 180
42 + x + y - 64 - x - y = 0
-22 = 0

This equation is not true, which means there is no consistent solution for x and y. Therefore, we cannot determine the value of K from the given information.