Question

Tell whether two angles can be as described. Justify your answers. a. vertical and complementary b. vertical and supplementary c. complementary and supplementary

Right triangles and trigonometry
ANSWERED
asked 2021-07-02
Tell whether two angles can be as described. Justify your answers.
a. vertical and complementary
b. vertical and supplementary
c. complementary and supplementary

Expert Answers (1)

2021-07-03
a.Yes, if the intersecting lines form two 45° angles as vertical angles, then they are also complementary as they add up to 90°.
b.Yes, if the intersecting lines are perpendiclar then the vertical angles are also supplementary as they add up to 180°.
c.No, two complementary angles have a sum of 90° while two supplementary angles have a sum of 180°. This cannot happen at the same time.
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