Question

Two complementary angles are in the ratio 3:7.
Then,
the smaller angle is :
and
the greater angle is :​

Answer 1

Step-by-step explanation:

you van understood this very easily.. i hope you will understand

Answer 2

Given:-

• Two complementary angles are in ratio of 3:7.

To find:-

• Smaller angle
• And greater angle.

Solution:-

$\sf \: Let \: the \: two \: complementary \: angles \: be \: '3x\degree' \: and \: '7x\degree'.$

$\sf \: We \: know \: that$

$\sf \: If \: two \: angles \: are \: complementary.$

$\sf \: So, \: there \: sum \: will \: be \: 90 \degree$

So,

$\implies \sf \: 3x\degree + 7x\degree = 90 \degree$

$\implies \sf \: 10x\degree = 90 \degree$

$\implies \sf \: x = \frac{90\degree}{10}$

$\implies \boxed{ \sf x = 9\degree}$

Verification:-

$\implies \sf \: 3x\degree + 7x\degree = 90 \degree$

• Put x = 9

$\implies \sf \: (3\times 9) + (7\times 9) = 90 \degree$

$\implies \sf \:27\degree + 63\degree = 90 \degree$

$\implies \sf \: 90\degree = 90 \degree$

$\sf \:Angles\:are$

$\sf \: 3x\degree = 3\times 9 = 27 \degree$

$\sf \: 7x\degree = 7\times 9 = 63\degree$

Threfore,

$\large \boxed{ \sf \: Smaller \: angle \: is \: 27 \degree}$

$\large \boxed{ \sf \: Greater \: angle \: is \: 63 \degree}$