35. Each of 3 lines crosses the other 2 lines, as shown below. Which of the following relationships, involving angle measures (in degrees), must be true?

I. m∠4 + m∠5 + m∠10 = 180°

II. m∠2 + m∠7 + m∠12 = 180°

III. m∠2 + m∠7 + m∠10 = 180°

Answer and Explanation

Your Answer is

Correct Answer is E

Explanation

The sum of the interior angles of a triangle is 180, and according to the principle of equal relative angles, ∠2 and ∠4 are equal, ∠10 and ∠12 are equal, and ∠5 and ∠7 are equal. So all three options are correct.