If one angle of a triangle is 100 and the other angles are in the ratio of 2:3, find the angles.
solve:
2x + 3x + 100 = 180
then find 2x and 3x
Yes
To find the angles of the triangle, we need to use the fact that the sum of the angles in a triangle is always 180 degrees.
Let's denote the three angles as follows:
First angle: x
Second angle: 2x
Third angle: 3x
According to the given information, we know that the first angle is 100 degrees. So we can set up the equation:
x + 2x + 3x = 180
Combining like terms, we get:
6x = 180
To solve for x, we divide both sides of the equation by 6:
x = 30
Now that we have the value of x, we can find the values of the other angles:
First angle: x = 30 degrees
Second angle: 2x = 2 * 30 = 60 degrees
Third angle: 3x = 3 * 30 = 90 degrees
Therefore, the angles of the triangle are 30 degrees, 60 degrees, and 90 degrees.