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Geometry in the Real World
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Geometry in the Real World
Use angle facts and properties of polygons and 3D shapes. Show your working where asked.
Angles in everyday structures
1.Three metal struts meet at one point. Two of the angles are 125° and 96°. Calculate the third angle.
2.A cycle path crosses a straight road. One angle at the crossing measures 64°. Find the angle beside it on the straight road.
3.Two braces cross in a roof frame. The angle on the left is 73°. Work out the vertically opposite angle and one angle next to it.
4.A triangular shade has two angles of 58° and 71°. Find its third angle, then calculate the exterior angle beside the 71° angle.
Polygons and solid shapes
5.A regular decagonal panel has ten equal sides. Calculate the size of one exterior angle and one interior angle.
6.A triangular window has angles of 39° and 84°. Determine the third angle and name the angle rule you used.
7.Four paving sections meet at a point. Three angles are 82°, 97° and 106°. Find the fourth angle.
8.A storage container is shaped like a rectangular prism. State its number of faces, edges and vertices. Give one everyday object with the same shape.
9.A six-sided gazebo floor has five interior angles measuring 118°, 132°, 105°, 147° and 96°. Calculate the remaining interior angle. Show how you know.
10.At one corner of a triangular sign, the exterior angle measures 143°. Find the adjacent interior angle and explain why the two measures fit together.
Plan a geometric design
Create a small design for a shelter, bridge, playground feature or package. Label at least three shapes and three angles. Add a sentence explaining how one shape or angle helps your design work.
3 printable pages
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Page 3
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