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Two angles are complementary.  The measure of one angle is 5 degrees less than one-fourth the measure of the other angle.  Find the measure of each angle.

Question

Two angles are complementary.  The measure of one angle is 5 degrees less than one-fourth the measure of the other angle.  Find the measure of each angle.

check_circleAnswer
Step 1

Let we assume x and y are complementary angles.

We know that, sum of complementary angle is 90 degree

i.e. x + y = 90   equation(1)

Also, from the given problem,

X = y/4 – 5     equation(2)

Step 2

From equation (1) and (2), we can find value of x and y

Plug x = y/4 – 5 in equation (1)

We get,

(y/4 – 5) + y = 90

y/4 + y =...

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Algebra

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