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U8L1 Angles of Polygons Notes Day 2
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INTERIOR & EXTERIOR OF ANY POLYGON REFERENCE: Sum of the INTERIOR Angle Measures: S=(n-2) 180 INTERIOR & EXTERIOR ANGLES OF REGULAR POLYGONS REFERENCE: Interior Angle Measure of a Regular Polygon: (n-2).180 Exterior Angle Measure of a Regular Polygon: n more practice with INTERIOR & EXTERIOR'ANGLE MEASURES 000 = PRACTICE QUESTIONS 1. What is the sum of the measures of the interior angles of a pentagon? S=(5-2)-180 5=(6-2) 180 3. What is the measure of each interior angle of a regular octagon? S=(8-2) 180 = 1080 . 360 n 2. What is the sum of the measures of the interior angles of a 27-gon? S=(27-2). 180 =4500° 4. What is the measure of each interior angle of a regular 20-gon? S=(20-2) 180 = 3240 3240/20 = 1629 1080/8=135° 5. Five angles of a hexagon measure 119°, 129°, 104°, 139°, and 95°. What is the measure of the sixth angle? 720-586 134° = 540° = 720° Sum of the EXTERIOR Angle Measure: 8. What is the sum of the measures of the exterior angles of a nonagon? 360° . 360° 6. The sum of the interior angles of a polygon is 1620°. How many sides does the polygon have? (n-2). 180 = 1620 n-2=9 n=ll sides The Number of Sides of a Regular Polygon: 360 ext< 7. The sum of the interior angles of a polygon is 3960°. How many sides does the polygon have? (1-2). 180 = 3960 n-2 = 22 n=24 sides 360 = 20 9. What is the measure of each exterior angle of a regular 20-gon? 18° Ⓒ Gina Wilson...
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Alternative transcript:
(All Things Algebra, LLC), 2014-2019 10. If the exterior angle of a regular polygon measures 9º, how many sides does the polygon have? 360 n 12. Find the value of x. 79⁰ 10⁰ B = 9 14. Solve for x. 110° (6x - 2)° xº (7x+19)º 15. Find mZB. (8x + 7)º A 55° (&x-1)⁰ (7x + 4) (14x-11)⁰ (5x + 36), 116⁰ (5x + 18)° (10x + 4)) (4x + 1) 9n=360 17. Find the value of x. (5x + 4) D n=40 sides C 360-244 (4x + 9)⁰ (10x + 13)º (9x-6) = 116° = 11. If the interior angle of a regular polygon measures 108°, how many sides does the polygon have? ext = 72° 360 n 13. Find the value of x. 16. If the figure below is a regular polygon, find the value of x. 10(10x+4)=1440 140⁰ 148° 6 = 72 136⁰ 100x +40=1440 100 x = 1400 X=14 142⁰ 150° 26x=442 X=17 xº 110 + 8x-1 + 5x+36+116+7x+19 +6x-2 = 720 26x + 278=720 360=72n n=5 sides 900-806 94° 8x+7+5x+18 + 10x+13 + 14x-11 =360 37x+27= 360 37x= 333 x = 9 M²B: 8(9) +7 = √79°/ 5x+4 + 4x+9+9x6 +4x+ +7x+4 =180 29X+12 = 360 29x= 348 X=12 Ⓒ Gina Wilson (All Things Algebra, LLC), 2014-2019
U8L1 Angles of Polygons Notes Day 2
U8L1 Angles of Polygons Notes Day 2
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INTERIOR & EXTERIOR OF ANY POLYGON REFERENCE: Sum of the INTERIOR Angle Measures: S=(n-2) 180 INTERIOR & EXTERIOR ANGLES OF REGULAR POLYGONS REFERENCE: Interior Angle Measure of a Regular Polygon: (n-2).180 Exterior Angle Measure of a Regular Polygon: n more practice with INTERIOR & EXTERIOR'ANGLE MEASURES 000 = PRACTICE QUESTIONS 1. What is the sum of the measures of the interior angles of a pentagon? S=(5-2)-180 5=(6-2) 180 3. What is the measure of each interior angle of a regular octagon? S=(8-2) 180 = 1080 . 360 n 2. What is the sum of the measures of the interior angles of a 27-gon? S=(27-2). 180 =4500° 4. What is the measure of each interior angle of a regular 20-gon? S=(20-2) 180 = 3240 3240/20 = 1629 1080/8=135° 5. Five angles of a hexagon measure 119°, 129°, 104°, 139°, and 95°. What is the measure of the sixth angle? 720-586 134° = 540° = 720° Sum of the EXTERIOR Angle Measure: 8. What is the sum of the measures of the exterior angles of a nonagon? 360° . 360° 6. The sum of the interior angles of a polygon is 1620°. How many sides does the polygon have? (n-2). 180 = 1620 n-2=9 n=ll sides The Number of Sides of a Regular Polygon: 360 ext< 7. The sum of the interior angles of a polygon is 3960°. How many sides does the polygon have? (1-2). 180 = 3960 n-2 = 22 n=24 sides 360 = 20 9. What is the measure of each exterior angle of a regular 20-gon? 18° Ⓒ Gina Wilson...
INTERIOR & EXTERIOR OF ANY POLYGON REFERENCE: Sum of the INTERIOR Angle Measures: S=(n-2) 180 INTERIOR & EXTERIOR ANGLES OF REGULAR POLYGONS REFERENCE: Interior Angle Measure of a Regular Polygon: (n-2).180 Exterior Angle Measure of a Regular Polygon: n more practice with INTERIOR & EXTERIOR'ANGLE MEASURES 000 = PRACTICE QUESTIONS 1. What is the sum of the measures of the interior angles of a pentagon? S=(5-2)-180 5=(6-2) 180 3. What is the measure of each interior angle of a regular octagon? S=(8-2) 180 = 1080 . 360 n 2. What is the sum of the measures of the interior angles of a 27-gon? S=(27-2). 180 =4500° 4. What is the measure of each interior angle of a regular 20-gon? S=(20-2) 180 = 3240 3240/20 = 1629 1080/8=135° 5. Five angles of a hexagon measure 119°, 129°, 104°, 139°, and 95°. What is the measure of the sixth angle? 720-586 134° = 540° = 720° Sum of the EXTERIOR Angle Measure: 8. What is the sum of the measures of the exterior angles of a nonagon? 360° . 360° 6. The sum of the interior angles of a polygon is 1620°. How many sides does the polygon have? (n-2). 180 = 1620 n-2=9 n=ll sides The Number of Sides of a Regular Polygon: 360 ext< 7. The sum of the interior angles of a polygon is 3960°. How many sides does the polygon have? (1-2). 180 = 3960 n-2 = 22 n=24 sides 360 = 20 9. What is the measure of each exterior angle of a regular 20-gon? 18° Ⓒ Gina Wilson...
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Alternative transcript:
(All Things Algebra, LLC), 2014-2019 10. If the exterior angle of a regular polygon measures 9º, how many sides does the polygon have? 360 n 12. Find the value of x. 79⁰ 10⁰ B = 9 14. Solve for x. 110° (6x - 2)° xº (7x+19)º 15. Find mZB. (8x + 7)º A 55° (&x-1)⁰ (7x + 4) (14x-11)⁰ (5x + 36), 116⁰ (5x + 18)° (10x + 4)) (4x + 1) 9n=360 17. Find the value of x. (5x + 4) D n=40 sides C 360-244 (4x + 9)⁰ (10x + 13)º (9x-6) = 116° = 11. If the interior angle of a regular polygon measures 108°, how many sides does the polygon have? ext = 72° 360 n 13. Find the value of x. 16. If the figure below is a regular polygon, find the value of x. 10(10x+4)=1440 140⁰ 148° 6 = 72 136⁰ 100x +40=1440 100 x = 1400 X=14 142⁰ 150° 26x=442 X=17 xº 110 + 8x-1 + 5x+36+116+7x+19 +6x-2 = 720 26x + 278=720 360=72n n=5 sides 900-806 94° 8x+7+5x+18 + 10x+13 + 14x-11 =360 37x+27= 360 37x= 333 x = 9 M²B: 8(9) +7 = √79°/ 5x+4 + 4x+9+9x6 +4x+ +7x+4 =180 29X+12 = 360 29x= 348 X=12 Ⓒ Gina Wilson (All Things Algebra, LLC), 2014-2019