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Geometry, NAP-L4-CA15

Craig is a town planner and needs to know the angles that streets make with each other.
 


 

He knows that Tombs Street and Horan Street are parallel.

What is the size of the shaded angle on the map?

`60^@` `45^@` `30^@` `120^@`
 
 
 
 
Show Answers Only

`60^@`

Show Worked Solution

`text(Corresponding angles are equal.)`

`:.\ text(Shaded angle) = 60°`

Filed Under: Triangles and Other Geometric Properties, Triangles and Other Geometric Properties Tagged With: Band 7, smc-3189-40-Parallel lines, smc-680-40-Parallel lines

Geometry, NAP-K4-CA17

Two boats leave from Fremantle. One sails to the Wharf at Rottnest Island and the other sails to Cervantes.

The direction each boat sailed is shown in the map below.
 

 
What is the value of `x` on the map?

35 45 50 60
 
 
 
 
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`50`

Show Worked Solution

`text(Alternate angles are equal)`

`:. 60` `= x + 10` 
`x` `= 50^@` 

Filed Under: Triangles and Other Geometric Properties, Triangles and Other Geometric Properties Tagged With: Band 8, smc-3189-40-Parallel lines, smc-680-40-Parallel lines

Geometry, NAP-B4-CA27 SA

In the figure below, the lines `p` and `q` are parallel.
 

 

What is the value of `x`?

 
Show Answers Only

`x=110`

Show Worked Solution

`x^@` `= 75 + 35`
  `= 110^@`

Filed Under: Triangles and Other Geometric Properties, Triangles and Other Geometric Properties Tagged With: Band 9, smc-3189-40-Parallel lines, smc-680-40-Parallel lines

Geometry, NAP-I4-CA20

Lines `AB` and `CD` are parallel.

Line `EF` intersects lines `AB` and `CD` as shown.
 

 naplan-2016-20mc

 
Which pair of angles are equal?

 
`/_ FQA and /_ FQB`
 
`/_ CPQ and /_ AQE`
 
`/_ DPE and /_ DPF`
 
`/_ CPQ and /_ PQB`
Show Answers Only

`/_ CPQ and /_ PQB`

Show Worked Solution

`/_ CPQ and /_ PQB`

`text{(Alternate angles)}`

Filed Under: Triangles and Other Geometric Properties, Triangles and Other Geometric Properties Tagged With: Band 8, smc-3189-40-Parallel lines, smc-680-40-Parallel lines

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