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Geometry, NAP-A3-CA26

What is the size of the angle marked  `x°`  in this diagram?

`100°` `110°` `120°` `170°`
 
 
 
 
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`110°`

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`text(From diagram, other interior angle)`

`= 180° – 120°`

`= 60°`

`:. x` `= 60 + 50`  
  `= 110°` `(text(exterior angle equals the)`
  `text{sum of interior opposites})`

Filed Under: Triangles and Other Geometric Properties, Triangles and Other Geometric Properties Tagged With: Band 9, smc-3165-10-Triangles – find angle, smc-679-10-Triangles - find angle

Geometry, NAP-C3-CA15

 
What is the size of the shaded angle?

`105^@` `110^@` `120^@` `125^@`
 
 
 
 
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`110^@` 

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`text(S)text(ince there are 180° in a triangle:)`

`15 + 55 + /_^@` `= 180^@`
`/_^@` `=180 – 70`
  `= 110^@`

Filed Under: Triangles and Other Geometric Properties, Triangles and Other Geometric Properties Tagged With: Band 7, smc-3165-10-Triangles – find angle, smc-679-10-Triangles - find angle

Geometry, NAP-H3-CA16

An isosceles triangle is drawn below.
 

 
What is the size of the angle `angleABC`?

`43.5°` `45°` `46.5°` `60°`
 
 
 
 
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`43.5^@`

Show Worked Solution
`angleABC` `= ((180 – 93))/2`
  `= 87/2`
  `= 43.5^@`

Filed Under: Triangles and Other Geometric Properties, Triangles and Other Geometric Properties Tagged With: Band 8, smc-3165-10-Triangles – find angle, smc-679-10-Triangles - find angle

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