2 complementry angles are in the ratio 3:2 find the angles
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Answer:
54° and 36°
Step-by-step explanation:
Complementary means the two angles sum up to have a right angle which has 90°. Therefore, we will multiply the two sides of the ratio with a constant k.
3k : 2k
We need to find the value of k first.
As a matter of fact,
3k + 2k = 90°
5k = 90°
k = 18°
To find the respective angles, multiple k with the coefficients.
3k = 3 x 18
which will be 54°.
2k = 2 x 18
which will be 36°.
To prove this is true, add up the two angles and see if they add up to 90°.
Therefore, the angles are 54° and 36° respectively.
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