Interior Angles of a Quadrilateral

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Presentation transcript:

Interior Angles of a Quadrilateral goteachmaths.co.uk Interior Angles of a Quadrilateral

Interior Angles of a Quadrilateral 23 February 2019 Interior Angles of a Quadrilateral

What is the size of angle A? Whiteboards 80° 55° 45° A

We know the interior angles of a triangle = 180° B C A + B + C = 180° What is the total interior angles of a quadrilateral? B A D C

A C 180° A B C 180° B 180° 180° 360°

A B C 180° A C 180° B 180° 180° 360°

The interior angles in a quadrilateral add up to 360° A B A + B + C + D = 360° C D

The interior angles in a quadrilateral add up to 360° 110° A 70° B A + B + C + D = 360° 110 + 110 + 70 + 70 = 360° 70° C 110° D

The interior angles in a quadrilateral add up to 360° 100° A 100° B A + B + C + D = 360° 100 + 100 + 80 + 80 = 360° 80° C 80° D

The interior angles in a quadrilateral add up to 360° 110° B 160° A A + B + C + D = 360° 160 + 110 + 60 + 30 = 360° 30° D 60° C

The interior angles in a quadrilateral add up to 360° 80° B A + B + C + D = 360° 160 + 110 + 60 + 30 = 360° 30° D 190° A C 60°

The interior angles in a quadrilateral add up to 360° A + B + C + D = 360° 50° B 160 + 110 + 60 + 30 = 360° 210° A C 80° 20° D

Whiteboards

Can you find the missing angle? 80° ?° 100° 100° 80°

Can you find the missing angle? 85° ?° 95° 95° 85°

Can you find the missing angle? 70° ?° 110° 110° 70°

Can you find the missing angle? 110° ?° 110° 75° 75°

Can you find the missing angle? 95° 85° 85° ?° 95°

Can you find the missing angle? 95° ?° 85° 85° 95°

Do the interior angles of a quadrilateral really equal 360°? Are they correct? Do the interior angles of a quadrilateral really equal 360°? Check the worksheet with a friend!

Calculate the missing angle! 78° 102° 100° 75° 80° 80° 105° 102° 105° 85° 75° 120° 50° 60° 114° 114° 105° 40° 85° 66° 20°

Measure the interior angles of the quadrilaterals Measure the interior angles of the quadrilaterals. What do they add up to?

Calculate the missing angles.

Write a short text message to a friend describing what you learnt this lesson.