Question

23. Which of the statements below is ALWAYS TRUE?
A. Supplementary angles are both obluse angles
B. Complementary angles are both acute angles
C. At least one of the angles in a supplementary pair is obtuse
D Alternate exterior angles are both obtuse angles
E Any two acute angles are complementary ​

Answer 1

Statement C is always true.

Explanation:

Statement A = Supplementary angles mans when two angles after addition sums upto 180. Obtuse angles are when any angles greater than 90 but it an supplementary angles require an acute angle and an obtuse angles.

Statement B: Except, 90 which is a right angle, if added to 0 degree will equal to 90 degree, is a complementary angle.

Statement C: Supplementary angles equals to 180 degree. There will be at least one obtuse angle with an acute angle.

Statement D: Alternate exterior angles can be acute too.

Statement E: Not always, two acute angles are complementary.