Math, asked by mi4284185, 4 months ago

Two complementary angles aare in the ratio 2:1 .find the measure of the angles.​

Answers

Answered by srijankhan8a
4

Step-by-step explanation:

let the number be x

2x+1x=90°(complementary angle)

3x=90°

x=90°/3

x=30°

Therefore, the two angle are

2x=2×30°=60°

1x=1×30°=30°

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Answered by Ladylaurel
9

Answer :-

The measure of two complementary angles are

Step-by-step explanation:

To Find :-

  • The measure of two complementary angles.

Solution

Given that,

  • The two complementary angles are in the ratio of 2:1

Assumption:

Let us assume the two complementary ratio angles as (2x)° and (1x)°,

We know,

Complementary angles = 90°

  • 2x + 1x = 90

Therefore,

2x + 1x = 90

3x = 90

x = 90/3

x = 30

The value of x is 30.

Now, The measure of angles are :-

  • (1x) = 1*30 = 30°
  • (2x) = 2*30 = 6

Hence,

The complementary angles are 30° and 60°.

Now,

V E R I F I C A T I O N :-

  • (1x) + (2x) = 90

By putting the value of angles in L.H.S :-

(1x) + (2x)

30 + 60

90

So, L.H.S = R.H.S = 90

Hence, Verified!

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