The support of a wood table is in the shape of a right triangle. Find the third angle of the triangle if the measure of one of the angles is 24°.
To find the third angle of the triangle, we need to know the sum of the angles in a triangle, which is always 180 degrees.
Let's call the first angle 24 degrees, and the second angle x degrees.
Since we know that the sum of all three angles is 180 degrees, we can write the equation:
24 + x + third angle = 180
To find the third angle, we need to isolate it.
Rearranging the equation, we get:
third angle = 180 - 24 - x
Simplifying, we have:
third angle = 156 - x
Therefore, the measure of the third angle of the triangle is 156 - x degrees.
To find the third angle of the triangle, we can use the fact that the sum of the angles in any triangle is always 180 degrees.
Let's call the angles of the triangle A, B, and C, with C being the angle we need to find. We know that angle A is 24 degrees. So we have:
A + B + C = 180
Substituting the value of A, we get:
24 + B + C = 180
To isolate the angle C, we can rearrange the equation:
C = 180 - 24 - B
Now, we need to determine the value of angle B. Given that the triangle is a right triangle and one of the angles is 90 degrees, the sum of all angles in the triangle must be 180 degrees. Since angle A is 24 degrees, angle B must be:
B = 180 - 90 - 24
B = 66 degrees
Substituting the value of B back into the equation for C, we have:
C = 180 - 24 - 66
C = 90 degrees
Therefore, the third angle of the triangle is 90 degrees.