Question

The complementary angles are in
the ratio 1:5. Find the measure of
the angles:
*​

Answer 1

Answer:

Let say that the two angles are a and b.bBecause they are complementary we have that

a+b=90°

and from the ratio we get

a/b=1/5

⇒b=5a

Solving the system of the two equations above we get

a=15° and b=°75

thank you

Answer 2

Given:-

• The complementary angles are in the ratio 1:5.

To find:-

• Find the measure of angles ?

Solutions:-

• Let 'x' be the common in given ratios

One angle = x

Another angle = 5x

We know that,

The sum of complementary angles is 90°

According to question:-

=> x + 5x = 90

=> 6x = 90

=> x = 90/6

=> x = 15°

• The value of 'x' is 15°.

Now,

One angle = x = 15°

Another angle = 5(15) = 75°

Hence, the measure of angles is 15° and 75°.

Some Important:-

There are three types of angles:

• acute angle-an angle between 0 and 90 degrees.
• right angle-an 90 degree angle.
• obtuse angle-an angle between 90 and 180 degrees.
• straight angle-a 180 degree angle.

Complementary Angles:-

• Sum is equal to 90 degrees.
• Two angles complement each other.
• It is not defined for linear pair of angles .
• Meant only for right angles.

Supplementary Angles:-

• Sum is equal to 180 degrees.
• Two angles supplement each other.
• It is defined for linear pair of angles.
• Meant only for straight angles.