Question

3. For items 1 to 4, refer to the figure below. a. If $m\angle4 = m\angle5$, what condition proves that $p \parallel r$? b. If $m\angle1 = m\angle8$, what condition proves that $p \parallel r$? c. If $m\angle4 = m\angle6$, what condition proves that $p \parallel r$? d. If $m\angle2 = 90^\circ$, what must $m\angle7$ be so that $p \parallel r$? 4. In the figure below, $l \parallel m$ and $m\angle1 = m\angle3$. Prove that $p \parallel r$.

          3.
For items 1 to 4, refer to the figure below.
a. If $m\angle4 = m\angle5$, what condition proves that $p \parallel r$?
b. If $m\angle1 = m\angle8$, what condition proves that $p \parallel r$?
c. If $m\angle4 = m\angle6$, what condition proves that $p \parallel r$?
d. If $m\angle2 = 90^\circ$, what must $m\angle7$ be so that $p \parallel r$?
4. In the figure below, $l \parallel m$ and $m\angle1 = m\angle3$. Prove that $p \parallel r$.

3.
For items 1 to 4, refer to the figure below.
a. If m∠4 = m∠5, what condition proves that p ∥ r?
b. If m∠1 = m∠8, what condition proves that p ∥ r?
c. If m∠4 = m∠6, what condition proves that p ∥ r?
d. If m∠2 = 90^∘, what must m∠7 be so that p ∥ r?
4. In the figure below, l ∥ m and m∠1 = m∠3. Prove that p ∥ r.

Added by Noelia C.

Geometry A Common Core Curriculum

Ron Larson, Laurie Boswell 1st Edition

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Solved by Expert Maria Dearborn

Step 1

If mZ = 4Iz9, we need to find a condition that proves that In [foz [ [fmz4 'Z61. To find this condition, we need to analyze the given information. We know that mZ = 4Iz9, which means that the measure of angle Z is 49 degrees. Now, let's look at the figure. We Show more…

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For items, refer to the figure below. If mZ = 4Iz9, what condition proves that In [foz [ [fmz4 'Z61? What condition proves that mZ = 90Â°? What must mZ be so that mn and mZ1 m23 prove that p in the figure below?