The ratio of the angles measured of the acute angles in a right triangle is 1:2. What are the measures of these angles.
A) 30 and 60
B) 45 and 90
C) 60 and 120
D) 10 and 20
If the ratio of the measures of the acute angles in a right triangle is 1:2, we can let the first angle be x and the second angle be 2x.
Since the sum of all angles in a triangle is 180 degrees, we can write the equation:
x + 2x + 90 = 180
Combining like terms, we have:
3x + 90 = 180
Subtracting 90 from both sides:
3x = 90
Dividing both sides by 3:
x = 30
Therefore, the first angle is 30 degrees and the second angle is 2 * 30 = 60 degrees.
The measures of the acute angles in the right triangle are 30 and 60 degrees.
The answer is A) 30 and 60.