6. What is formed outside the polygon between a side and an extension of an adjacent side? Name the angle.7. Name the interior angle adjacent to 21?How are 21 and 22 related aside from being adjacent?9. What is the sum of the measures of 21 and 10. If the measure of 22 is 120°, what is the measure of 21? How did you get the answer?11. If an exterior angle of a regular polygon is given, can you find the measure of its interior angle? How?(Please hurry up I'm running late)
Answer (1)
Answer:Let's address each of your questions quickly: 6. Outside the Polygon between a Side and an Extension: - The angle formed outside the polygon between a side and an extension of an adjacent side is called an exterior angle.7. Interior Angle Adjacent to 21: - The interior angle adjacent to angle 21 is angle 20.8. Relation between 21 and 22: - Angles 21 and 22 are supplementary angles because they add up to 180°.9. Sum of Measures of 21 and 10, and Measure of 21: - The sum of the measures of angles 21 and 10 is 180° because they form a straight line.- If the measure of angle 22 is 120°, then the measure of angle 21 can be found using the fact that angles 21 and 22 are supplementary.- Measure of angle 21 = 180° - Measure of angle 22- Measure of angle 21 = 180° - 120° = 60°10. Finding Interior Angle from Exterior Angle: - In a regular polygon, the sum of an exterior angle and its corresponding interior angle is always 180°.- To find the measure of the interior angle of a regular polygon when the exterior angle is given, subtract the exterior angle from 180°. I hope this helps you quickly with your geometry questions! Let me know if you need further assistance or have more questions.
