uhhhhhhhhhhhhhhhhhhhh

Question

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

Answer 1

Step 1: Find each of the interior angle of the regular heptagon.

The formula that gives the interior angle measure for a regular polygon with any number of sides is 180(n-2)/n where n is the number of sides.

So a regular heptagon's interior angle measures: 180(7-2)/7 = 128 4/7.

Angle A and D would be 128 4/7 degrees.

Step 2: Find angle BAC. We know that a square's interior angle is 90 degrees and a heptagon's is 128 4/7 degrees. We will subtract those from 360 degrees to find angle BAC.

Angle BAC = 360 - (angle A + 90)

= 360 - (128 4/7 + 90)

= 360 - 218 4/7

= 141 3/7 degrees

Answer 2

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 3

Some calculations for you.

m∠BAD = ?

m∠DAC = ?

∠m∠BAC = 360º - (m∠BAD + m∠DAC)

OK?