if m<L=M<K and m<J=20 what is the measure of exterior angle at vertex K?

Answer 1

To find the measure of the exterior angle at vertex K, we first need to determine the measure of angle K.

Since M < L = M < K, we know that angle M is smaller than angle K. Additionally, since M < J = 20, we know that angle M is 20 degrees.

Therefore, the measure of angle K is greater than 20 degrees.

Now, since the exterior angle at a vertex of a triangle is equal to the sum of the two opposite interior angles, we can calculate the measure of the exterior angle at vertex K:

Exterior angle at K = Measure of angle K + Measure of angle L
Exterior angle at K = Measure of angle K + Measure of angle M

Since we know that angle M = 20 degrees and angle K > 20 degrees, we can conclude that the measure of the exterior angle at vertex K is greater than 20 degrees.

Answer 2

5.
What is the sum of the measures of the angles of a 25-gon?

360º

25º

4,140º

2,500º

Answer 3

To find the sum of the measures of the angles of a polygon, we use the formula:

Sum of angles = (n-2) * 180 degrees

where n is the number of sides in the polygon.

For a 25-gon, n = 25. Plugging this into the formula:

Sum of angles = (25-2) * 180
Sum of angles = 23 * 180
Sum of angles = 4,140 degrees

Therefore, the sum of the measures of the angles of a 25-gon is 4,140 degrees.

So, the correct answer is:

4,140º