Question

Two complementary angles are in the ratio 1:2 find the angles

Answer 1

Answer:

complementary angle means 90°

let the numbers be 1x &2x

1x+2x=90°

3x=90°

x=90/3

x=30°

Step-by-step explanation:

1x=1×30=30°

2x=2×30=60°

Answer 2

To find : complementary angles .

Given : two complementary angles are in the ratio $1:2$ .

Solution :

• We know that complementary angles are the angles whose sum measures up to $90$° .

        i.e.   ∠A + ∠B =  $90$°  

• As per given data we know that two complementary angles are in the ratio $1:2$ .
• Let , two complementary angles be $1x$ and $2x$ .
• Then according to condition we write as , $1x + 2x = 90$ .
• Using transposition method we find the value of $x$ .

• $1x + 2x = 90$

        $3x = 90 \\ x = 30$

• Now , complementary angles are:

        $1x = 1\times 30 =$ $30$ °  

        $2x = 2\times 30 =$ $60$°

Hence, two complementary angles in the ratio $1:2$ are $30$ °  and $60$°  .