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Congruency, SMB-016

Igor was designing a shield using 10 congruent (isosceles) triangles, as shown in the diagram below.
 

How many degrees in the angle marked `x`?   (3 marks)

--- 6 WORK AREA LINES (style=lined) ---

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`72^@`

Show Worked Solution

`text(Angles at centre of circle)\ = 360/10 = 36^@`

`text{Since triangles are isosceles:}`

`180` `= 36 + 2x`
`2x` `= 180-36`
  `= 144 `
`:. x` `= 72^@`

Filed Under: Congruency, Special Properties Tagged With: num-title-ct-pathc, smc-4747-50-Other problems, smc-4748-10-Triangle properties

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