





Triangles, friend-o



The other way



144n = (n – 2)×180
144n = 180n – 360
-36n = -360
n = 10


Comments (6)

v+w+?+?=360    (?+? represent the two unknown angles in the polygon above; the angles on top of x and y)

? +?=360-72  
=288 (Looking for the total angle measure of the unknown angles of the polygon shown above in the picture)

144 (measure of each unknown angle in the polygon)

Each unknown angle has a measure of 144 in the polygon mentioned above. This makes sense because 144+144+72= 360. (Each polygon has to have a measure of 360.)

So the formula we are now going to use is (n-2)180. (The formula is for finding the degrees in a figure with n sides.)

So i’ll try Ten. (Ten being the number of sides this polygon has)

(10-2)(180)= 1440. If there are 10 sides and each side has the same angle degree measure, it would mean that each angle in this polygon measures 144, (makes sense for 10 to be the answer because the unknown angles each measured 144) so:

The Correct answer is:

10 sides. (10 being the number of sides this polygon has)

Let me know if this is correct.A long time ago I did the fore mentioned SAT as a practice test and this is the way I was able to do the problem. Quite tedious this way, but I am sure that it is the correct answer. Is there a faster way to do this?

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