Question

Find the measure of angle A. Show equations and all work that leads to your answer. seven-sided figure ABCDEFG, angle A measures 9x minus 2 degrees, angle B measure 10x plus 2 degrees, angle C measures 165 degrees, angle D measures 100 degrees, angle E measures 5x plus 83 degrees, angle F measures 12x plus 18 degrees, and angle G measures 138 degrees Measure of angle A = (9x – 2)°, measure of angle B = (10x + 2)°, measure of angle C = 165°, measure angle D = 100°, measure of angle E = (5x + 83)°, angle F = (12x + 18)°, and 138°.

Answer 1

ok so what kind of polygon is this?

Answer 2

it has 7 sides the actual question is on the screenshot

Answer 3

ok so wat does all the angles add up to?

Answer 4

im not entirely sure i just have the question

Answer 5

ok u know how a trianlgle adds up to 180 and a square 360?

Answer 6

yeah

Answer 7

ok so wat does tthe 7 sides add up to?

Answer 8

1260?

Answer 9

ok so u take all the angle measurements and add them up to 1260

Answer 10

if you look at my screenshot you cant just add them all up

Answer 11

A triangle's interior angle adds up to 180.
A square has two triangles. So the interior angles add up to 180 + 180 = 360
A pentagon has three triangles inside and so all the interior angles add up to 180+180+180 = 540.
How many triangles will a 7 sided figure have inside?

Answer 12

gahhhh idk anymore so imma let ranga help u out

Answer 13

5?

Answer 14

Yes. So 5 x 180 = 900. The interior angles add up to 900 not 1260.

Answer 15

ah ok

Answer 16

but that still doesnt answer my question

Answer 17

They give you the interior angles in the diagram. Add up all the interior angles and equate it to 900 and then solve for x.

Answer 18

so before solving for x its 36x + 504 degrees?

Answer 19

Yes!

Answer 20

awesome

Answer 21

thats easier than i expected

Answer 22

Glad it helped.

Answer 23

lol me too

Answer 24

so wait what would be x?