Pls to all moderators don't delete my question this is urgent and I felt bad for people who answered this question the last time, they gave so much effort...

Jere :

1. The sum of the angles in a quadrilateral add up to 360 -> x + x + 20 + x + 40 + x + 60 = 360

4x + 120 = 360
x = (360-120)/4 = 60

2. A dodecagon has 12 sides

To find the interior angle of this, we use the formula : (n-2) x 180 : 12
Replace n = 12
10 x 180 : 12 = 150 (none of the answers are correct)

3. The interior angle is x2 its exterior -> Its interior angle = 120

-> It's a hexagon -> 6 sides.

4. The sum of the angles in a pentagon is 540 -> The other 2 angles = 540 - 125 - 130 - 135 = 150

The larger angle = 150 : (2 + 3) x 3 = 90

With all these, Jere couldn't win. So Gatty is the one that won.. if the 33 is meant to be a 3.

Getty (O)

1. Add together our given sides and subtract it from the perimeter.

97-(18+19+20)=40

Since we know the other two sides are congruent, we can divide by 2.

40/2=20cm

2. Once again, all quadrilaterals equal 360 degrees. Subtract our given angles.

360-(62+120+98)=80

The measure of angle F is 80 degrees

3 (Jere for context). The interior angle is twice the exterior, so we will say interior=2x and exterior=x

2x+x=3x=180 (the 180 comes from the base degree of all polygons)

180/3=60, x=60, 2x=120

If each interior angle is 120 degrees, we can infer the regular polygon has 6 sides, because each interior angle of a regular hexagon is equal to 120

The polygon has 6 sides

3. Insert same explanation as Jere question 3. Im lazy, answer is 33

4. First, add together all numbers in the ratio to find how many parts you have. 1+2+3+4+5=15

Next divide the total degrees of a pentagon (540) by your number of parts (15). 540/15=36

And finally since we're looking for the largest angle, we'll multiply the largest number of the ratio (5) by 36. 5*36=180