Use the triangle angle sim theorem to find the measure of the angles for the triangle in the diagram
To find the measure of the angles for the triangle in the diagram using the triangle angle sum theorem, we first need to determine the sum of the angles in a triangle.
The triangle angle sum theorem states that the sum of the three interior angles of a triangle is always 180 degrees.
Let's label the angles in the triangle as follows:
Angle A = x
Angle B = 2x
Angle C = 3x
By using the triangle angle sum theorem, we can write the equation:
x + 2x + 3x = 180
Combining like terms, we get:
6x = 180
Dividing both sides by 6, we find:
x = 30
Now that we know the value of x, we can find the measure of each angle:
Angle A = x = 30 degrees
Angle B = 2x = 60 degrees
Angle C = 3x = 90 degrees
Therefore, the measure of the angles for the triangle in the diagram are:
Angle A = 30 degrees
Angle B = 60 degrees
Angle C = 90 degrees