Two angles of a right triangle are in the ratio 2:3 find the bigger angle. Please solve this Q and please don't send only the ans send Solution also.
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Use the fact that the sum of the angles in any triangle =180 degrees.
2x+3x+90=180 (Combine like-terms).
⇒5x+90=180 (Subtract 90 from both sides).
⇒5x=90 (Divide both sides by 5).
⇒x=18
⇒2x=36
⇒3x=54
The measures of the acute angles in a right triangle whose ratio is 2:3 are:
36 degrees and 54 degrees.
Therefore, difference between the two angles =54−36=18o
Hence, option B is correct.
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