The angles of a triangle measure
, , and . Using the Triangle
Angle Sum Theorem, find the
measure of the smallest angle in this
triangle. (1 point)
2x 3x 4
To find the measure of the smallest angle in the triangle, we need to add up the measures of all three angles and set it equal to 180 degrees, based on the Triangle Angle Sum Theorem.
So we have:
2x + 3x + 4 = 180
Combining like terms, we get:
5x + 4 = 180
Subtracting 4 from both sides, we have:
5x = 176
Dividing both sides by 5, we get:
x = 35.2
Now we can find the measure of the smallest angle by substituting x back into the equation:
2x = 2(35.2) = 70.4 degrees
Therefore, the measure of the smallest angle in this triangle is 70.4 degrees.