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

let the angles be 2x and 3x

2x + 3x = 90

5x = 90

x = 18

2x = 2 x 18° = 36°

3x = 3 x 18° = 54°

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Answer 2

The measure of each angle is 36° and 54°

Step-by-step explanation:

We are given that the angles are in the ratio 2:3

Let the ratio be x

So, The angles are 2x and 3x

We are given that the sum of two angles is 90 degrees.

$2x + 3x = 90\\5x = 90\\x = 18$

$2x = 2 \times 18 = 36^{\circ}\\3x = 3 \times 18 = 54^{\circ}$

Hence  the measure of each angle is 36° and 54°

#Learn more:

The angles of a triangle are in the ratio 3:1:2 .Find the measure of each angle

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