Question

The sum of two angles is 90 degrees.the angles are in the ratio 2:3. find the measure of each angle​

Answer 1

$\bf\huge\underline{Answer :-}$

The angles are 36° and 54° respectively

$\huge{\mathfrak{\underline{Explanation :- }}}$

Given :

Sum of two angles - 90°

Ratio of the angles - 2:3

To find :

The measure of each angle

Solution :

Let the angles be 2x and 3x

According to question,

$\sf\longrightarrow 2x + 3x = 90$

$\sf\longrightarrow 5x = 90$

$\sf\longrightarrow x = \dfrac{90}{6}$

$\sf\therefore x = 18$

Hence, The first angle => 2x = 2 × 18 = 36°

The second angle => 3x = 3 × 18 = 54°

Answer 2

Answer:

Step-by-step explanation:

Given :-

The sum of two angles is 90 degrees.

The angles are in the ratio 2:3.

To Find :-

The measure of each angle

Solution :-

let the angles be 2x and 3x

According to the Question,

⇒ 2x + 3x = 90

⇒  5x = 90

⇒ x = 90/5

⇒  x = 18

First angle = 2x = 2 × 18 = 36°

Second angle = 3x = 3 × 18 = 54°