One angle of triangle is 90° if the ratio of the legs is 1:1 what are the measures in degrees of the 2 remaining angle
In a right triangle, one angle is always 90°, and the sum of the measures of all the angles in a triangle is always 180°. Therefore, the two remaining angles in this triangle must add up to 180° - 90° = 90°.
Since the ratio of the legs is given as 1:1, this means they are equal in length. Therefore, the two remaining angles must also be equal in measure.
Let's call the measure of each of the two remaining angles x. Since they are equal, their sum is 2x, which we know is equal to 90°.
2x = 90°
Dividing both sides of the equation by 2, we have:
x = 45°
So, each of the two remaining angles in this triangle measures 45°.