Question

C and d are complementary. The measure of c is 4x and the measure of d is 26. What is the value of x

Answer 1

The value of x is 16.

Explanation:

We are given the following in the question:

c and d are complementary angles.

Measure of c =
`4x`

Measure of d = 26

Since c and d are complementary, we can write from property of complementary:

`c + d = 90`

Putting values, we get,

`4x + 26 =90\\4x = 90-26 = 64\\\\\Rightarrow x = (64)/(4) = 16`

Thus, value of x is 16.