True or false geometry question?

Give a reason or example to support each answer.





2. The acute angles of any right triangle are supplementary.





4. A triangle can have angles of measure 74 degrees, 43 degrees, and 62 degrees.





Can someone please help me out with these two questions. I'm drawing a blank and I'm sick of sitting here trying to find the answer and getting nowhere.True or false geometry question?
2. False. All the angles in a triangle must add up to 180. If there is a right angle, then that's 90 of the 180 degrees. So, the other two must add up to another 90, therefore being complementary, not supplementary.





4. False. All the angles in a triangle must add up to 180. And these only add up to 179, so no, a triangle cannot have 74, 43, and 62.





Hope this helps.True or false geometry question?
both false. The sum of the angles of any triangle add up to 180 degrees.





re: question 2, ';the acute angles'; excludes the right angle which means that you're only talking about 2 of the three angles of the triangle, which can't add up to 180 degrees - which is what supplementary angles are.





re: question 4. The three angles add up to 179 degrees, hence can't be a triangle.
2. False; supplementary means that the pair of angles add up to be 180 degrees. if a triangle is a right triangle, this is impossible for the acute angles to be supplementary





4. False; a triangle MUST equal 180 degrees, this only equals 179 degrees
Answer to #2 - Two Angles are Supplementary if they add up to 180 degrees.





Answer to #4 - The three angles always add to 180掳