Question

Complete each statement with always, sometimes, or never. 1. Two right angles are _______ supplementary. 2. Two angles that are nonadjacent are ______ vertical. 3. Two angles that are supplementary are _______ complementary. a) 1. sometimes, 2. sometimes, 3. always b) 1. always, 2. sometimes, 3. always c) 1. never, 2. sometimes, 3. sometimes d) 1. always, 2. always, 3. never e) 1. always, 2. sometimes, 3. never f) None of the above

Answer 1

Answer:

e) 1. always, 2. sometimes, 3. never

Explanation:

Supplementary angles are those angles, which degree measures add up to 180°.

Complementary angles are those angles, which degree measures add up to 90°.

Vertical angles are two opposite angles formed when two lines intersect.

1. Two right angles are always supplementary.

Right angle has the degree measure of 90°, then the sum of measures of  two right angles is always 180°.

2. Two angles that are nonadjacent are sometimes vertical.

They are vertical when the sides of these angles form two intersecting lines, in other cases they are not vertical.

3.  Two angles that are supplementary are never complementary.

If two angles are supplementary, then their measures add up to 180°. 180 is not equal to 90°, so these angles cannot be complementary.