Math-geometry-true or false~triangles

Question

true or false explain in full

how does the sum of the measures of the three angles of an acute triangle compare to the sum to the sum of the measures of the three angles of an obtuse triangle?explain in a full:

Answer 1

The sum of the measures of the interior angles of ALL triangles is 180°.

Answer 2

Use the "walkaround" method. For any figure: Whenever you come to a corner, you make a turn. Your turn is 180 degrees - the angle of that corner. Consider an equilateral where each angle is 60 degrees. At each angle, you turn through an angle of 120 - the angle.....in this case 180 - 60 = 120. You do this 3 times, and you have turned a total of 360 degrees.

Putting it in a general form: Call the angles A, B, and C. The 3 turns are then:

180 - A

180 - B

180 - C

The sum must be 360, therefore A+B+C must be 180 degrees

This method works for any polygon