Question

If the exterior angle of the bases is 130°, then the measure of the angle of each base is __°, and the measure of the vertex is __°. If the exterior angle of the vertex is 130°, then the measure of the angle of each base is __°, and the measure of the vertex is __°.

A. Various angle measures.
B. No angle measures.
C. Angle measures with missing values.
D. A mix of angle measures and non-angle measures.

Answer 1

The measure of each base angle is 50° and the measure of the vertex angle is 130°.

Step-by-step explanation:

When the exterior angle of a polygon is given, we can use the formula:
Measure of each base angle = 180° - measure of the exterior angle

So, if the exterior angle of the bases is 130°, then the measure of each base angle is 180° - 130° = 50°. The measure of the vertex angle will be the same as the exterior angle, so it would also be 130°.

Similarly, if the exterior angle of the vertex is 130°, then the measure of each base angle will again be 180° - 130° = 50°, and the measure of the vertex angle will be 130°.