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saul85 [17]
3 years ago
7

What is the measure of the angle in the Southwest corner of the intersection of broadway and 22nd street

Mathematics
1 answer:
Svetllana [295]3 years ago
7 0

Answer:

  105°

Step-by-step explanation:

Maps are usually oriented so that North is up. That means the southwest corner is below and to the left of the intersecting lines. Since numbered streets are usually parallel, we're to assume that W 22nd street is parallel to W 20th street. That makes Broadway a transversal of parallel lines, and it makes the angle of interest a corresponding angle to the one whose measure is shown.

In this (assumed) geometry, corresponding angles are congruent, so the angle of interest has measure 105°.

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The one across from it is also 15º since it is a vertical angle to the known 15º angle.
Both of those together gets 30º.
The whole thing is 360º, so just subtract 30 from 360 and divide.
360 - 30 = 330
Do the same for the 15x angle.
The one under/across to it is a vertical angle so is also 15xº.
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Checking your work:
15x = 165
15x = 165
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Add those numbers together and make sure it adds up to 360º.
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