Question : If the measure of one angle of a right triangle is 30º more than the measure of the smallest angle, then the measure of the smallest angle is:
Option 1: 90º
Option 2: 60º
Option 3: 30º
Option 4: 75º
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Correct Answer: 30º
Solution :
Given: The measure of one angle of a right triangle is 30º more than the measure of the smallest angle.
Let the smallest angle be $x$.
So, the other angle = $(x+30°)$
According to the question,
$x+(x+30°)+90°=180°$
⇒ $2x=180°–120°$
⇒ $x=\frac{60°}{2}$
⇒ $x=30°$
Hence, the correct answer is 30°.
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