Question

complementary angles which are in the radio 2:3 is (36degre ,54degre )is true or flase​

Answer 1

Given :

• Ratio is 2:3
• Complementary angles

To find :

• Value of the angles

According to the question,

Let the ratio be 2x and 3x &

Value of complementary angles is 90°

→ 2x + 3x = 90°

→ 5x = 90°

→ x = 90° ÷ 5

.°. x = 18°

Value of 2x :

→ 2x

→ 2(18)

→ 36°

Value of 3x :

→ 3x

→ 3(18)

→ 54°

So, the above answer is True..

_________

Verification :

→ 2x + 3x = 90°

→ 5x = 90°

→ 5(18°) = 90°

→ 90° = 90°

.°. L.H.S = R.H.S

Hence, verified..

Answer 2

Given that,

The complementary angles are in the ratio $2:3$that is $(36° and\:54° )$.

To find,

$&#x21AA$To prove whether it is True or False.

We know that,

The two angles whose sum is $90°$said to be complementary.

Solution:-

Let the given two angles be $2x\:and\:3x$

A/Q

$&#x21AA$$2x+3x=90°$

$&#x21AA$$5x=90°$

$&#x21AA$$x=$$\frac{90}{5}$

$&#x21AA$$x=18°$

Therefore,

The first angle will be,

$\longrightarrow$$2x=2×18=36°$

And the second angle will be,

$\longrightarrow$$3x=3×18=54°$

Hence Verified that,

$&#x21AA$$2:3=36°\:and\:54°$