Adjacent Angles

Front

What are adjacent angles?

Back

Adjacent angles are two angles that share a common vertex and a common side, but do not overlap.

Front

If two angles are adjacent and one measures 80 degrees, what is the measure of the other angle if they form a straight line?

Back

The other angle measures 100 degrees because adjacent angles on a straight line sum up to 180 degrees.

Front

What is the sum of two adjacent angles?

Back

The sum of two adjacent angles can vary, but if they form a straight line, their sum is 180 degrees.

Front

If ∠CAD measures 30 degrees, what is the measure of its adjacent angle ∠DAB if they form a straight line?

Back

∠DAB measures 150 degrees because 180 - 30 = 150.

Front

What is the measure of ∠BAD if it is adjacent to ∠CAD which measures 30 degrees and they form a right angle?

Back

∠BAD measures 60 degrees because 90 - 30 = 60.

Front

If two adjacent angles are complementary, what is the sum of their measures?

Back

The sum of their measures is 90 degrees.

Front

Find the missing angle if ∠A measures 85 degrees and ∠B is adjacent to it on a straight line.

Back

∠B measures 95 degrees because 180 - 85 = 95.

Front

What is the measure of ∠CAD if it is adjacent to ∠DAB which measures 90 degrees?

Back

∠CAD can be any angle that, when added to 90 degrees, equals 180 degrees, so it measures 90 degrees.

Front

If ∠BAD measures 123 degrees, what is the measure of its adjacent angle ∠CAD if they form a straight line?

Back

∠CAD measures 57 degrees because 180 - 123 = 57.

Front

What do you call angles that add up to 180 degrees?

Back

They are called supplementary angles.