... Good day to you, Regarding the " Exterior Angle Theorem " it would be beneficial for beginning students to give a bit more explanation for a thorough understanding, because my experience with for instance tutoring students they will not remember the theorem without a clear understanding, so what I would do is to also first show the relationship between the exterior angle X and the interior angles ( T deg. , 88 deg. , 39 deg. ) of the triangle as follows ... [ assume unknown angle T ] .... 180 deg. - X deg. = T deg. = 180 deg. - (88 deg. + 39 deg.) ... - X deg. = - (88 deg. + 39 deg.) ... X deg. = 88 deg. + 39 deg. = 127 deg. ... now students can see for themselves that this theorem didn't randomly fall out of the sky! I personally don't like to learn theorems, but rather understand them! Thanks for your math efforts ... best regards, Jan-W
Dawgs, just directly add the 88 and 39(interior angles)= 127(exterior angle) *Only when the X is on the line* Instead of then subtracting it with 180 then again after getting the answer 53, again subtracting it from 180. It will eat the time especially if you're giving SAT or ACT
your solution in triangle number 3 is wrong = x + y = 180, let y is our third interior angle; y + 88 + 39 = 180 = y=53, therefore; x + 53 = 180; x = 127..THE SUM OF TWO INTERIOR ANGLES (88 & 39" CANNOT BE ADDED WITH AN EXTERIOR ANGLE X DIRECTLY.
Dawgs, just directly add the 88 and 39(interior angles)= 127(exterior angle) *Only when the X is on the line* Instead of then subtracting it with 180 then again after getting the answer 53, again subtracting it from 180. It will eat the time especially if you're giving SAT or ACT
Whenever I worked out the missing number for each angle, what I did was I added up the sum of each triangle using my calculators and then subtracting the given number from 180° to figure out the missing number
No, he is correct. The third angle in the triangle is adjacent to the 127, and if you know the exterior angle to its adjacent, it will have a sum of 180 degrees