7.06 Parallel lines and transversals

Identify the types of angles formed by the transveral in the following diagrams:

a

b

c

State whether the following types of angles are equal, complementary, or supplementary:

For the marked angle in each the following diagrams, name the angle which is:

a

b

For each of the following diagrams, state whether the diagram contains parallel lines. Explain your answer.

a

b

c

d

e

f

g

h

For each of the following diagrams, find the value of x:

a

b

c

d

e

f

Consider the following diagram:

a

How are \angle BPD and \angle AQE related?

b

How are \angle AQE and \angle DQE related?

c

If \angle BPD = 84 \degree, find the value of \angle DQE.

Consider the following diagram:

a

How are \angle APB and \angle CPE related?

b

How are \angle CPE and \angle BQD related?

c

If \angle APB = 107 \degree, find the value of \angle BQD.

Consider the following diagram:

a

How are \angle DQF and \angle CPE related?

b

How are \angle CPE and \angle EPF related?

c

If \angle DQF = 97 \degree, find the value of \angle EPF.