Question

The figure below includes PL and JM. Use the figure for Items 12-13.

12. Name three pairs of supplementary angles.
K
13. Name two angles that appear to be obtuse.

Answer 1

Explanation:

12). Pair of supplementary angles means sum of the measures of a pair angles = 180°

So the three pairs will be,

m∠JKP + m∠JKL = 180°

m∠JKL + m∠LKM = 180°

m∠PKN + m∠NKL = 180°

13). Since obtuse angles measure more than 90°,

Two obtuse angles from the given picture will be,

∠JKL and ∠PKM

14). Since obtuse angles measure more than 90°, their sum will be more than 180°.

Therefore, two obtuse angles can never be supplementary.