Answer:
c = 20
Step-by-step explanation:
First, let's find b. We can do so by subtracting a from j:
b = 24 - 15 = 9
Now, we know the two triangles are similar so a, b and c, d must be proportional. Let's find the proportion of a to j since that should be same as the proportion of c to k.
[tex]\frac{a}{j} = \frac{15}{24} = 0.625[/tex]
So, let's set that equal to the proportion of c to k:
[tex]\frac{c}{k} = 0.625[/tex]
We know what k is so let's solve for c:
[tex]c = 0.625*32 = 20[/tex]
So, the measure of c is 20.
