Question

A square and a regular heptagon are coplanar and share a common side overline{AD}, as shown. What is the degree measure of angle BAC? Express your answer as a common fraction.

Answer 1

@welshfella

Answer 2

im stuck

Answer 3

first calculate the sum of the angles in a regular heptagon
Use the formula Sn = 180(n - 2) where n = number of sides = 7
Then divide this by 7 to find the measure of one angle which will be the measure of < BAD
The angle in a square is 90 degrees (<CAD) ,so the required angle <BAC
will be equal to m <BAD - 90

Answer 4

OK?

Answer 5

for first part , for a reguar heptagon the total of interior angles =
S7 = 180(7 - 2) = 180*5 = 900

Answer 6

Now divide that by 7 to get m < BAD

Answer 7

wait... 900/7?

Answer 8

right

Answer 9

now subtract 90 from that to give m < BAC

Answer 10

okay 900/7=128.5714.....

Answer 11

and so on

Answer 12

yeah - but they want it as a common fraction
so yiou need to write it as

900/7 - 90 = 900/7 - 630/7

Answer 13

so would that come out to 270/7

Answer 14

yes

Answer 15

Thank you! sorry it to long it takes a while for me to understand things

Answer 16

OK yw