T Madas T Madas What do the 3

What do the 3 angles of any triangle add up to? 0 1 2

The angles in a triangle add up to 180° © T Madas

Angle Calculations in Triangles 55° 75° + 50° = 125° 180° – 125° =

Angle Calculations in Triangles 180° – 40° = 140° ÷ 2 = 70° 40°

Practice Angle Calculations with Triangles © T Madas

60° 100° 45° 70° 35° 45° 50° 55° 80° 45° 65° 25° 30° 115°

70° 104° 48° 65° 33° 45° 52° 80° 47° 61° 29° 33° 109° 62°

80° 101° 47° 60° 36° 43° 40° 53° 80° 48° 64° 26° 32° 110°

50° 70° 40° 55° 70° 65° 40° 100° 65° 40° 45° 110° 45° 35°

Quick Test on Angle Calculations with Triangles © T Madas

What do the 4 angles in a quadrilateral add up to? 180° 360° 180°

Practice Angle Calculations with Quadrilaterals © T Madas

The angles of a quadrilateral add up to 360° 50° 160 ° 150° 110°

The angles of a quadrilateral add up to 360° 65° 45° 160 ° 150°

The angles of a quadrilateral add up to 360° 65° 46° 159 ° 152°

Quick Test on Angle Calculations with Quadrilaterals © T Madas

The angles of a quadrilateral add up to 360° test 60° 50° 160 °

The angles of a quadrilateral add up to 360° test 65° 45° 160 °

The angles of a quadrilateral add up to 360° test 65° 46° 159 °

Calculate the angle marked as x. 61° 21° 69° 29° 50° x © T

Calculate the angle marked as x 50° 130° 20° 70° ° 0 x 3

Calculate the angle marked as x. 49° 41° 49° x © T Madas

Calculate three angles of the triangle 70 ° 140° 40 ° 70 ° Calculate

Calculate the angle marked with x 292° x 68 ° 136° 44 ° 68

Calculate the missing angles in each triangle 70° 50° 65° 55° © T Madas

One of the angles of a rhombus is 47°. Calculate the angle marked as

One of the angles of an isosceles triangle is 64°. What are the sizes

A parallelogram ABCD, its diagonals and some of its angles are shown in the

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What do the 3 angles of any triangle add up to? 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 © T Madas

The angles in a triangle add up to 180° © T Madas

Angle Calculations in Triangles 55° 75° + 50° = 125° 180° – 125° = 55° 50° 61° 29° + 90° = 119° 180° – 119° = 61° © T Madas

Angle Calculations in Triangles 180° – 40° = 140° ÷ 2 = 70° 40° 70° 110° 35° 35° + 35° = 70° 180° – 70° = 110° © T Madas

Practice Angle Calculations with Triangles © T Madas

60° 100° 45° 70° 35° 45° 50° 55° 80° 45° 65° 25° 30° 115° 65° 25° 55° 120° 35° 70° 50° 35° © T Madas

70° 104° 48° 65° 33° 45° 52° 80° 47° 61° 29° 33° 109° 62° 24° 52° 117° 38° 77° 71° 51° 39° © T Madas

80° 101° 47° 60° 36° 43° 40° 53° 80° 48° 64° 26° 32° 110° 61° 23° 52° 117° 38° 71° 50° 40° © T Madas

50° 70° 40° 55° 70° 65° 40° 100° 65° 40° 45° 110° 45° 35° 20° 35° 80° © T Madas

Quick Test on Angle Calculations with Triangles © T Madas

60° 100° 45° 70° 35° 45° 50° 55° 80° 45° 65° 25° 30° 115° 65° 25° 55° 120° 35° 70° 50° 35° © T Madas

70° 104° 48° 65° 33° 45° 52° 80° 47° 61° 29° 33° 109° 62° 24° 52° 117° 38° 77° 71° 51° 39° © T Madas

80° 101° 47° 60° 36° 43° 40° 53° 80° 48° 64° 26° 32° 110° 61° 23° 52° 117° 38° 71° 50° 40° © T Madas

50° 70° 40° 55° 70° 65° 40° 100° 65° 40° 45° 110° 45° 35° 20° 35° 80° © T Madas

What do the 4 angles in a quadrilateral add up to? 180° 360° 180° © T Madas

Practice Angle Calculations with Quadrilaterals © T Madas

The angles of a quadrilateral add up to 360° 50° 160 ° 150° 110° 100° 160° 95° 40° 45° 65° 75° 0° 110° 105° 35° 155° 30° 80° 115° 95° 155° 75° 16 65° 90° 75° 30° 60° 115° 105° 95° 65° 100° 70° 95° © T Madas

The angles of a quadrilateral add up to 360° 65° 45° 160 ° 150° 45° 110° 100° 160° 95° 45° 60° 65° 5° 105° 115° 35° 150° 30° 75° 120° 95° 150° 75° 16 70° 90° 70° 35° 65° 110° 100° 55° 100° 75° 95° © T Madas

The angles of a quadrilateral add up to 360° 65° 46° 159 ° 152° 46° 111° 97° 164° 94° 44° 63° 64° 8° 105° 114° 36° 155° 28° 74° 119° 92° 149° 74° 16 73° 91° 69° 33° 68° 115° 98° 91° 79° 97° 72° 92° © T Madas

The angles of a quadrilateral add up to 360° test 60° 50° 160 ° 150° 110° 100° 160° 95° 40° 45° 65° 75° 0° 110° 105° 35° 155° 30° 80° 115° 95° 155° 75° 16 65° 90° 75° 30° 60° 115° 105° 95° 65° 100° 70° 95° © T Madas

The angles of a quadrilateral add up to 360° test 65° 45° 160 ° 150° 45° 110° 100° 160° 95° 45° 60° 65° 5° 105° 115° 35° 150° 30° 75° 120° 95° 150° 75° 16 70° 90° 70° 35° 65° 110° 100° 55° 100° 75° 95° © T Madas

The angles of a quadrilateral add up to 360° test 65° 46° 159 ° 152° 46° 111° 97° 164° 94° 44° 63° 64° 8° 105° 114° 36° 155° 28° 74° 119° 92° 149° 74° 16 73° 91° 69° 33° 68° 115° 98° 91° 79° 97° 72° 92° © T Madas

Calculate three angles of the triangle 70 ° 140° 40 ° 70 ° Calculate the angle marked with x 55 ° 110° x 70 ° 55 ° © T Madas

One of the angles of a rhombus is 47°. Calculate the angle marked as x. 47 + 47 94 47° x 133° 360 – 94 266 ÷ 2 = 133° • Opposite angles in a parallelogram are equal • A rhombus is a special parallelogram • Angles in any quadrilateral add up to 360° © T Madas

One of the angles of an isosceles triangle is 64°. What are the sizes of the other two angles? [You must show that there are 2 different possibilities] 1 st possibility 2 nd possibility 52° 64 + 64 128 64° 180 – 128 52 58° 180 – 64 116 58° 116 ÷ 2 = 58° © T Madas

A parallelogram ABCD, its diagonals and some of its angles are shown in the diagram below. 1. Calculate the four angles of the parallelogram. 2. Using the properties of parallelograms (including special parallelograms), explain why this drawing is impossible. B 55° 50 A 55° ° 20° 110° D C ° 50 there is no parallelogram with only one diagonal bisecting its angles In any parallelogram both diagonals bisect their angles: rhombus, square both diagonals do not bisect their angles: rectangle , ordinary parallelogram only one diagonal bisect its angles: NONE Can you think of a quadrilateral where only one diagonal bisect its angles? © T Madas

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