Question

if two complementaty angle are such that two times the measure of one is equal to three times the measure of the other find the measure of larger angle​

Answer 1

Given :

Two complementary angle are such that two times the measure of one is equal to three times the measure of the other

To Find :

Measure of larger angle

Solution :

Let complementary angles be  " x " , " 90 - x "

Two complementary angle are such that two times the measure of one is equal to three times the measure of the other .

⇒ 2x = 3( 90 - x )

⇒ 2x = 270 - 3x

⇒ 2x + 3x = 270

⇒ 5x = 270

⇒ x = 54  $\purple{\bigstar}$

Angles are ,

→  x = 54°

→  90 - x = 90 - 54 = 36°

So , Measure of larger angle = 54°

Answer 2

Answer:

✡ Given ✡

$\leadsto$ If two complementary angle are such that two times the measure of one is equal to three times the measure of the other.

✡ To Find ✡

$\leadsto$ What is the measure of larger angle.

✡ Solution ✡

✏ Let the measure of one angle be x

✏ Then, the measure of complement = 90° - x

▶ According to the question,

$\mapsto$ 2x = 3(90° - x)

$\implies$ 2x = 270° - 3x

$\implies$ 2x + 3x = 270°

$\implies$ 5x = 270°

$\implies$ x = $\dfrac{270°}{5}$

$\implies$ x = 54°

$\implies$ 90° - x = 90° - 54° = 36°

$\therefore$ The measure of larger angle is 54°.

Step-by-step explanation:

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