one angle of a triangle is 90 degrees. If the ratio of the legs i 1:1, what are the mesuares( in degrees) of the 2 remaining angles?
since the legs are equal, the angles are equal. The angles are each 45 degrees.
Thank you Steve
To find the measures of the two remaining angles in a triangle, we need to use the fact that the sum of the angles in a triangle is always 180 degrees.
Given that one angle of the triangle is 90 degrees, we can label it as the right angle. Let's call it angle A.
Since the legs of the triangle are in a 1:1 ratio, we know that both legs have equal length. Let's call the length of each leg x.
Now, we can use the properties of a right triangle to find the measures of the other two angles.
Angle B: This angle is opposite to one of the legs. Using the properties of a right triangle, we know that angle B is equal to the angle opposite to the other leg. So, angle B is also equal to angle C.
Let's find angle B:
Since the sum of the angles in a triangle is 180 degrees and angle A is 90 degrees, we have:
Angle B + Angle C = 180 - 90 = 90 degrees.
Since angle B is equal to angle C, we can write:
2 * Angle B = 90 degrees.
Dividing both sides by 2, we get:
Angle B = 45 degrees.
Therefore, angle B and angle C both measure 45 degrees.
So, the measures of the two remaining angles in the triangle are 45 degrees each.