For each statement, provide an example showing that the statement can be true, or an explanation of why the statement can never be true.

a. Adjacent angles can be complementary.

b. Vertical angles can be supplementary.

c. Complementary angles can be supplementary.

Now draw a ray in the interior of the angle with the ray starting at the vertex of the right angle. Inside the right angle there are two complementary adjacent angles.

b. True

Draw two perpendicular lines. Each of the 4 angles formed measures 90°. Each pair of vertical angles has a sum of measures of 180°, so each pair of vertical angles is supplementary.

c. False

The sum of the measures of two complementary angles is 90°. The sum of the measures of two supplementary angles is 180°. The sum of two numbers cannot be both 90 and 180.

For each statement, provide an example showing that the statement can be true, or an explanation of why the statement can never be true.a. Adjacent angles can be complementary.b. Vertical angles can be supplementary.c. Complementary angles can be supplementary.

Answer :

Other Questions

For each statement, provide an example showing that the statement can be true, or an explanation of why the statement can never be true.

a. Adjacent angles can be complementary.

b. Vertical angles can be supplementary.

c. Complementary angles can be supplementary.