Special Properties, SMB-019

A regular pentagon, a square and an equilateral triangle meet at a point.

What is the size of the angle `x°`? (3 marks)

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`102°`

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`text(Sum of internal angles of pentagon)`

`= (n-2) xx 180`

`= 3 xx 180`

`= 540^@`

`text(Internal angle in pentagon)`

`= 540/5`

`= 108^@`

`:. x`	`= 360-(108 + 90 + 60)`
	`= 102^@`