If the measure of one angle of a right triangle is 30° more than the measure of the smallest angle, then the measure of the smallest angle is:
Show answer & explanation
Correct answer: C
Explanation
The correct answer is option 3 i.e. 30°.
In a right triangle, one angle is always 90º.
Let's call the smallest angle = x
The other angle is = x + 30º
The sum of angles in a triangle is always 180º, so:
⇒ x + (x + 30º) + 90º = 180º
Now solve for x:
⇒ 2x + 30º + 90º = 180º
⇒ 2x = 60º
⇒ x = 30º