Question

The complementary angles are in the ratio of 1:5 the measures of the angles are

Answer 1

Answer:

the complementary angles Degree is 90 ° .

so here , the complementary angles are inthe ratio 1:5 = 1x and 5x .

1x + 5x = 90

6x = 90

x = 90/6

x = 15

1x= 1× 15 = 15

5x = 5 × 15 = 75

so here we must add 75 and 15 we will get 90 so it is correct answer

Answer 2

$\huge\sf\pink{Answer}$

☞ Measure of angles is 15° and 75°

$\rule{110}1$

$\huge\sf\blue{Given}$

✭ Complementary angles are in the ratio 1:5

$\rule{110}1$

$\huge\sf\gray{To \:Find}$

◈ Measure of angles?

$\rule{110}1$

$\huge\sf\purple{Steps}$

Assume that,

◕ One angle = x

◕ Another angle = 5x

$\bullet\underline{\textsf{\: As Per the Question}}$

$\sf{\dashrightarrow x + 5x = 90 }$

$\sf{\dashrightarrow 6x = 90 }$

$\sf{\dashrightarrow x = \dfrac{90}{6} }$

$\sf{\orange{\dashrightarrow x = 15^\circ}}$

Now, we have to find the angles

➠ One angle = x = 15°

➠ Another angle = 5(15) = 75°

$\rule{170}3$