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If the ratio between two complementry angles is 2:3 then find the angle?
Most Upvoted Answer
If the ratio between two complementry angles is 2:3 then find the angl...
Let the first angle be 2x and the second angle be 3x2x + 3x = 90 degree (since, complimentary angles)5x=90x =90/5x = 18therefore , first angle = 2x = 2×18=36 degreesecond angle=3x=3×18=48degree
Community Answer
If the ratio between two complementry angles is 2:3 then find the angl...
Given:
The ratio between two complementary angles is 2:3.

To Find:
The measure of each angle.

Explanation:

Step 1: Set up the ratio equation
Let the first angle be 2x and the second angle be 3x.
Since the angles are complementary, their sum is equal to 90 degrees.
Therefore, we can set up the equation:
2x + 3x = 90

Step 2: Solve the equation
Combining like terms:
5x = 90
Dividing by 5:
x = 18

Step 3: Find the measure of each angle
Substitute the value of x back into the expressions for the angles:
First angle = 2x = 2(18) = 36 degrees
Second angle = 3x = 3(18) = 54 degrees

Answer:
The measure of the first angle is 36 degrees, and the measure of the second angle is 54 degrees.
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