Question

Can anyone do it fast (with steps)
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Answer 1

Step-by-step explanation:

1 a. let n be no. of vertices then,

the no. of diagonals is n-3 = 10 - 3 = 7

1b. The measure of each exterior angle = 360 / 10 = 36

then, the measure of each interior angle = 180 - 36 = 144

So the sum of the interior angles = 144/10 = 1440

2. let the measure of the sides of the polygon be n

then,

(n-2) × 180 = 1080

n-2 = 6

n = 6+2 = 8

The measure of each interior angle = 1080 / 8 = 135

3. < Q = 180 - <SRQ = 100

<S = 180 - <SPQ = 120

I hope it helps you

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