The figure shows a pair of parallel lines intersected by another pair of parallel lines.
Are the measures of Z4 and 214 related in
the same way as the measures of 29 and
Z7? Show your work.

Step-by-step explanation:

m∠4 + m∠16 = 180° [Consecutive exterior angles]

m∠16 = m∠14 [corresponding angles]

Therefore, m∠4 + m∠14 = 180°

m∠7 + m∠11 = 180° [Consecutive interior angles]

m∠11 = m∠9 [Corresponding angles]

Therefore, m∠7 + m∠9 = 180°

In both the cases sum of the given angles is 180°.

Therefore, measure of ∠4 and ∠14 are related in the same way as the measurement of ∠9 and ∠7.

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image result for what is another name for consecutive interior angles? ​

when two lines are crossed by another line (called the transversal): the pairs of angles on one side of the transversal but inside the two lines are called consecutive interior angles. in this example, these are consecutive interior angles: d and f.

step-by-step explanation: