What is the value of `x°` in this diagram?
| `36°` | `45°` | `48°` | `54°` |
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Show Worked Solution
`text(S)text(ince 180° in straight line,)`
| `x` | `= 180-(90 + 36)` |
| `= 54°` |
Geometry, NAP-D4-NC32 SA
Camilla is creating a sculpture using five similar triangles.
What is the size of the angle labelled `a^@`?
| degrees |
Show Worked Solution
`text(Consider the centre angle of each triangle.)`
| `5 xx x^@` | `= 360 – 90\ \ text{(360° about a point)}` |
| `5x` | `= 270` |
| `x` | `= 54` |
| `:. a` | `= 180 – (90 + 54)\ \ text{(angle sum of triangle)}` |
| `= 36` |
Geometry, NAP-I3-CA26 SA
Pablo creates a design that is made up of 3 rectangles and 2 straight lines, as shown below.
What is the size of angle `x?`
| degrees |
Show Worked Solution
`text(S) text(ince there’s 180° in a straight line,)`
| `x + 45` | `= 180` |
| `x` | `= 135^@` |
Geometry, NAP-H3-CA32 SA
In the diagram `AB` is a straight line.
What is the size of the angle marked `x°`?
| degrees |
Show Worked Solution
| `x^@` | `= 90-60` |
| `= 30^@` |
Geometry, NAP-C3-NC32 SA
Two squares are drawn on the sides of an equilateral triangle as shown.
A straight line was drawn through the point where the 3 shapes touch.
What is the size of the shaded angle?
| ° |
Show Worked Solution
`text(S)text(ince there is 180° in a straight line:)`
| `x` | `=180 – (60 + 45)` |
| `=75` | |
| `:. y` | `=90-x` |
| `=90-75` | |
| `=15°` |