Question

Which of the following statements are false?

a. vertical angles are congruent
b. angles with measures between 0 degrees and 90 degrees are complementary
c. straight angles are supplementary
d. angles with measures between 90 degrees and 180 degrees are obtuse

Answer 1

well, a and d are true, and b is somewhat false...

angles that are both less than 90 degrees and higher than 0 have to add up to equal 90, not just be less than 90

c, is the same thing. Straight angles are 180 degrees, but supplementary means two angles add up to equal 180 degrees, not just one

so b and c may be true, im not sure

i know that a and d are true, therefore they are not the right answer

Answer 2

a. vertical angles are congruent - True.

Vertical angles are the angles opposite each other when two lines cross.

b. angles with measures between 0 degrees and 90 degrees are complementary - True.

Complementary angles are two angles whose measures sum to 90 degrees.

c. straight angles are supplementary . False.

Rather supplementary angles add up to 180 degrees and together they make a straight angle.

d. angles with measures between 90 degrees and 180 degrees are obtuse. True.

An obtuse angle is an angle of greater than 90° and less than 180°.