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

do you can drawing a regular heptagon and a square ? what mean that these are coplanar ?

Answer 2

https://latex.artofproblemsolving.com/d/b/d/dbd33d9cf687beb2ee75fc65701073a68b9d7f95.png

Answer 3

interior angle formula: (n-2)(180)/n
for a heptagon, n = 7 ---> plug in and find the interior angle. your answer will be a fraction. this is <BAD

<DAC is the interior angle of a square (commonly known to be 90 degrees)

now, you might notice that <BAD, <DAC, and <BAC make up a 360 - degree circle, so

<BAC = 360 degrees - <BAD - <DAC, again write your solution as a fraction