What is the sum of the marked angles

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What is the sum of the marked angles in each diagram?

What is the sum of the marked angles in each diagram?

A polygon is concave is it has at least one reflex interior angle. Mark

A polygon is concave is it has at least one reflex interior angle. Mark the angle that shows each hexagon below is concave. Why is it not possible to have a concave triangle?

Sort each shape from A to I into the correct box according to its

Sort each shape from A to I into the correct box according to its properties Polygon Convex A B Not a polygon Concave C D E F G H I

Sort each shape from A to I into the correct box according to its

Sort each shape from A to I into the correct box according to its properties Polygon Convex B Not a polygon Concave D E A C G F I H

In the two hexagons below, one is concave and one is convex. What are

In the two hexagons below, one is concave and one is convex. What are your first impressions about the sum of the marked angles?

20 steps forward 5 steps back 7 steps forward They’ve taken 32 steps. They’re

20 steps forward 5 steps back 7 steps forward They’ve taken 32 steps. They’re 22 steps further.

The angle sum is 410 o. 60 o 50 o 80 o 110 o

The angle sum is 410 o. 60 o 50 o 80 o 110 o 50 o 110 o There’s a 360 o turn around the polygon.

My Turn Your Turn Find angle x 140 o 62 o 30 o 73

My Turn Your Turn Find angle x 140 o 62 o 30 o 73 o 124 o x

My Turn Your Turn Find angle x 140 o x 62 o 30 o

My Turn Your Turn Find angle x 140 o x 62 o 30 o 50 o 124 o 140 o 160 o 73 o x

2) 1) 3) x 50 o 110 o 120 o x 5 o 50

2) 1) 3) x 50 o 110 o 120 o x 5 o 50 o 70 o 20 o 60 o 40 o x 50 o 60 o 105 o 25 o 4) 40 o x 160 o 33 o 43 o 66 o 100 o 39 o 5 o 5) 15 o x 20 o 87 o 168 o 103 o

2) 1) 3) 50 o 160 o 110 o x 123 o 120 o

2) 1) 3) 50 o 160 o 110 o x 123 o 120 o x 5 o 50 o 70 o 20 o 60 o 40 o 60 o x 50 o 60 o 105 o 25 o 4) 40 o 117 o x 160 o 61 o 33 o 43 o 66 o 100 o 39 o 5 o 5) 15 o x 20 o 87 o 168 o 103 o

1) 75 o 2) x 3) x 140 o 120 o 55 o 75

1) 75 o 2) x 3) x 140 o 120 o 55 o 75 o 110 o x 45 o 140 o 80 o 6) 4) 110 o 5) 70 o x 80 o 68 o x 80 o 260 o 85 o 60 o 100 o x 76 o 140 o 100 o 71 o 60 o

1) 75 o 2) x 50 o x 60 o 3) 140 o 120

1) 75 o 2) x 50 o x 60 o 3) 140 o 120 o 55 o 80 o 75 o 110 o x 45 o 140 o 80 o 6) 4) 110 o 5) 70 o 100 o 80 o x 107 o 68 o x 80 o 260 o 85 o 60 o 100 o 125 o x 76 o 140 o 100 o 71 o 60 o

7) x 8) x 115 o 150 o 82 o x 9) 126 o

7) x 8) x 115 o 150 o 82 o x 9) 126 o 95 o 10) 110 o 108 o 95 o 85 o 108 o 140 o 60 o 11) 12) 50 o 130 o 100 o x 135 o x x 110 o 130 o

7) 100 o 8) x 115 o 10) 50 o 150 o 82 o

7) 100 o 8) x 115 o 10) 50 o 150 o 82 o x 9) 55 o 95 o x 126 o 110 o 108 o 95 o 85 o 108 o 140 o 60 o 11) 12) 50 o 100 o 135 o 140 o x 130 o 100 o x 110 o 130 o

70 o 14) 13) 75 o 130 o x 66 o x 110 o

70 o 14) 13) 75 o 130 o x 66 o x 110 o 80 o 65 o 106 o 65 o 16) 35 o 22 o 15) 60 o 110 o 45 o x 25 o x 30 o 140 o 108 o

70 o 14) 13) 75 o 70 o 130 o x 55 o 66

70 o 14) 13) 75 o 70 o 130 o x 55 o 66 o x 110 o 80 o 65 o 106 o 65 o 16) 35 o 22 o 15) 60 o 45 o x 25 o x 105 o 30 o 140 o 64 o 110 o 108 o