Question

complementary angle which are in the ratio 2:3 is(36,54) state true or false​

Answer 1

Answer:

I think it is helpful you please support me give me points please

Step-by-step explanation:

Two angles are called complementary angles, if their sum is one right angle i.e. 90°.

Each angle is called the complement of the other.

Example, 20° and 70° are complementary angles, because 20° + 70° = 90°.

Clearly, 20° is the complement of 70° and 70° is the complement of 20°.

Thus, the complement of angle 53° = 90° - 53° = 37°.

Answer 2

Given,

The complementary angles are in ratio of $2:3$ that is $36°\:and\:54°$

To find,

To prove whether it is True or False.

$\Large\bf\underline\red{We\:know\:that}$

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

$\Large\bf\underline\blue{Solution:-}$

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

$\longrightarrow$$2x+3x=90°$

$\longrightarrow$$5x=90°$

$\longrightarrow$$x$=$\frac{90}{5}$

$\longrightarrow$$x$=$18°$

Therefore,

The first angle is $36°$

As,

$\longrightarrow$$2x$=$2×18$=$36°$

And the second angle is $54°$

As,

$\longrightarrow$$3x$=$3×18$=$54°$

$\Large\bf\underline\green{Hence,\:Verified}$

That the statement is True.

═════════

нσρє ıт's нєłρƒυł