Answer:
The value of x is 16.
Step-by-step explanation:
We are given the following in the question:
c and d are complementary angles.
Measure of c = [tex]4x[/tex]
Measure of d = 26
Since c and d are complementary, we can write from property of complementary:
[tex]c + d = 90[/tex]
Putting values, we get,
[tex]4x + 26 =90\\4x = 90-26 = 64\\\\\Rightarrow x = \dfrac{64}{4} = 16[/tex]
Thus, value of x is 16.
