Step-by-step explanation:
It appears that given geometrical shape is a HEXA-DECAGON or a 16 sided polygon.
Measure of one interior angle of hexa-decagon can be given as:
[tex] \frac{(n - 2) \times 180 \degree}{n} \\ \\ = \frac{(16 - 2) \times 180 \degree}{16} \\ \\ = \frac{14 \times 45 \degree}{4} \\ \\ = \frac{7 \times 45 \degree}{2} \\ \\ = \frac{315 \degree}{2} \\ \\ = 157.5\degree \\ [/tex]
