Answered

Jane said that all complementary angles are acute and all supplementary angles are obtuse. Is she correct? Why/why not?
She is correct since complementary angles add to 90, they have to be less than 90.
She is correct since supplementary angles have to add to 180, they must be greater than 90.
She is incorrect because complementary and supplementary angles can be both obtuse or acute. She is incorrect in the
second half of her statement.
She is incorrect because supplementary angles have to be acute and obtuse pairs or both right



Answer :

GinnyAnswer
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1. Jane is incorrect in her statement. Complementary angles are pairs of angles that add up to 90 degrees, but they can be a mix of acute (less than 90 degrees) or right angles (exactly 90 degrees). For example, an acute angle of 30 degrees paired with a right angle of 60 degrees would form complementary angles.

2. Similarly, supplementary angles are pairs of angles that add up to 180 degrees. They can be a combination of obtuse (greater than 90 degrees) or right angles (exactly 90 degrees), not just obtuse angles. For instance, an obtuse angle of 100 degrees paired with a right angle of 80 degrees would make supplementary angles.

Therefore, Jane's statement that all complementary angles are acute and all supplementary angles are obtuse is not correct. Complementary and supplementary angles can consist of a variety of acute, obtuse, or right angles depending on how they combine to meet the respective angle sum conditions.