The sum of two angles is 90 degrees and the angles are in the ratio of 2:3. What is the measure of each angle?

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34 & 56

36 & 54

35 & 55

32 & 58

answer is B.

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Detailed Solution

Concept- A ratio in mathematics shows how many times one number is contained in another. For instance, if a dish of fruit contains eight oranges and six lemons, the ratio of oranges to lemons is eight to six (that is, 8:6, which is equivalent to the ratio 4:3).
We need to convert the ratio into individual parts or proportions and then, simply to calculate how much of 90 degrees is each part.
Ratio of 2:3 means one part is

and the other part is

Simplified, one part is

and the other is

.
So,

th part of 90∘ =

°
=

°
= 36°
And, the other angle is

.
Hence, the correct answer is 2) 36 & 54.

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