if a right triangle has an angle that is 75 degrees what is the third angle of the triangle
105 degrees
75 degrees
25 degrees
15 degrees
pick one right awnser
The third angle of any triangle can be found by subtracting the sum of the other two angles (which is always 180 degrees) from 180 degrees.
In this case, the other two angles are 90 degrees (since it is a right triangle) and 75 degrees.
Therefore, the third angle would be 180 - (90 + 75) = 180 - 165 = 15 degrees.
So, the correct answer is 15 degrees.
To find the third angle of a triangle, we need to know that the sum of all three angles in a triangle is always 180 degrees.
Since we are given that one angle is 75 degrees, let's call the two other angles A and C. We can set up an equation:
A + 75 + C = 180
To solve for C (the third angle), we need to isolate C by subtracting 75 from both sides of the equation:
A + C = 180 - 75
Simplifying further:
A + C = 105
Now, we don't have any specific values for angle A, so we can express it as a variable. However, we do know that the third angle in a right triangle is always 90 degrees. Therefore, angle A must be 90 degrees.
Let's substitute the value of A into the equation:
90 + C = 105
Now, isolate C by subtracting 90 from both sides:
C = 105 - 90
C = 15
Therefore, the third angle of the triangle is 15 degrees.
To find the third angle of a right triangle, we can use the fact that the sum of the angles in any triangle is 180 degrees.
Since the given triangle is a right triangle and one angle is already known to be 75 degrees, we can denote the third angle as x.
Now, using the fact that the sum of the angles is 180 degrees, we can write an equation:
75 + 90 + x = 180.
Simplifying the equation, we have:
165 + x = 180.
To solve for x, we subtract 165 from both sides of the equation:
x = 180 - 165.
Therefore, the third angle of the right triangle is:
x = 15 degrees.
So, the correct answer is 15 degrees.