Question

The complementary angles are in the ratio 1:5 find measure of the angles

Answer 1

Let the angles be x and 5x as their ratio is 1 : 5 .

We know that sum of complementary angles is 90 .

So ,

x + 5x = 90

6x = 90

x = 15

First angle = x = 15

Second angle = 5x = 75

Answer 2

GIVEN:

• The complementary angles are in the ratio 1:5

TO FIND:

• What is the measure of angles ?

SOLUTION:

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:-

$\rm{\rightharpoonup x + 5x = 90 }$

$\rm{\rightharpoonup 6x = 90 }$

$\rm{\rightharpoonup x = \cancel\dfrac{90}{6} }$

$\bf{\rightharpoonup x = 15°}$

❛ The value of 'x' is 15° ❜

Now, we have to find the angles

❍ One angle = x = 15°

❍ Another angle = 5(15) = 75°

❛ Hence, the measure of angles is 15° and 75° ❜

______________________

VERIFICATION:

➨ $\bf{ 90 = 15 + 75}$

➨ $\bf{ 90\degree = 90\degree}$

$\bf{[L.H.S. = R.H.S.]}$

VERIFIED....