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> LESSON 12 Polygons and Quadrilaterals Unit Test What is the measure of each interior angle of a regular, 12-sided polygon? (1 point) O 150° O 140° O 130 O 120° ( point​

Sagot :

Answer:

Answer is 150°

Step-by-step explanation:

» Interior angle sum of a polygon:

[tex] = { \tt{180(n - 2)}}[/tex]

» Interior angle sum of a dodegon:

[tex] = { \tt{180(12 - 2)}} \\ = { \tt{180 \times 10}} \\ = { \boxed{ \tt{1800 \degree}}}[/tex]

» Measure for each angle:

[tex]{ \tt{ = \frac{interior \: angle \: sum}{n} }} \\ \\{ \tt{ = \frac{1800}{12} }} \\ \\ = { \tt{150 \degree}}[/tex]