Question

!50 POINTS! (3 SIMPLE GEOMETRY QUESTION)

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Answer 1

1) 153

2) 108

3) 8

Explanation:

1) The adjacent angles are supplimentary in a parallelogram

∠G + ∠H = 180

⇒ ∠H = 180 - ∠G

⇒ ∠H = 180 - 27

⇒ ∠H = 153

2) The measure of each interior angle of a polygon is:

`((n-2)*180)/(n)`

sub n = 5,

`((5-2)*180)/(5)\\\\= (3*180)/(5)\\\\=(540)/(5)\\\\= 108`

3) The sum of interior angls in a polygon is : (n - 2)*180

sum of angles = 1080

⇒ (n - 2)*180 = 1080

`\implies n-2 = (1080)/(180)\\\\ \implies n-2 = 6\\\\\implies n = 6+2\\\\\implies n = 8`