If all angles are measured in degrees, the ratio of three times the measure of $\angle a$ to four times the measure of the complement of $\angle a$ to half the measure of the supplement of $\angle a$ is $3: 14: 4$. what is the number of degrees in the measure of the complement of $\angle a$?

The measure of the complement of angle A is

Explanation:

we know that

If two angles are complementary, then their sum is equal to 90 degrees

If two angles are supplementary, then their sum is equal to 180 degrees

Let

x ----> the measure of angle A

(90-x) ----> the measure of the complement of angle A

(180-x) ---> the measure of the supplement of angle A

we know that

-----> equation A

----> equation B

Solve equation A or  equation B to determine the value of x

Solve equation A

Verify the value of x in the equation B

---> is ok

Find out the measure of the complement of angle A

(