To find the measure of the smallest angle, we need to find the sum of the measures of all the angles of the triangle.
Let the measures of the angles be 5x, 6x, and 7x (since the measures are in the ratio of 5:6:7).
According to the triangle angle sum property, the sum of the measures of all angles in a triangle is 180 degrees.
So, we have the equation: 5x + 6x + 7x = 180.
Combining like terms: 18x = 180.
Dividing both sides by 18: x = 10.
Therefore, the measures of the angles are: 5x = 5(10) = 50 degrees, 6x = 6(10) = 60 degrees, and 7x = 7(10) = 70 degrees.
Hence, the smallest angle measures 50 degrees.
If the angles of a triangle with measures in the ratio of 5 : 6 : 7, then find the measure of the smallest angle.%0D%0A(1 point)%0D%0AResponses%0D%0A%0D%0A40°%0D%0A40°%0D%0A%0D%0A50°%0D%0A50°%0D%0A%0D%0A60°%0D%0A60°%0D%0A%0D%0A70°
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