There must be more information in order to solve this problem. Do you have coordinates, a coordinate plane, or equations of lines?
Joshua S.
tutor
I think the file is too large. You can either lower the quality of the picture so that it can post OR you can describe the picture.
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12/14/21
Faiza A.
Use the map shown. A graph shows 5 roads. Grey drive is horizontal and passes through (0, negative 4). Brodie Lane is horizontal and passes through (0, 2). Canon road is vertical and passes through (3, 0). Village way is diagonal and passes through (negative 4, negative 3) and (0, 5). Austin ave is parallel to Village way and passes through approximately (negative 0.5, negative 1.5). Four angles are formed where Brodie intersects Village. Starting in the upper left and moving clockwise theyre labelled 1, 2, 4, and 3. Four angles are formed where Brodie intersects Canon. Starting in the upper left and moving clockwise theyre labelled 5, 6, 8, and 7. Four angles are formed where Grey intersects Village. Starting in the upper left and moving clockwise theyre labelled 9, 10, 12, and 11. Let m∠1 = x. Select all the angles that have a measure of 180 – x. A. ∠5 B. ∠3 C. ∠11 D. ∠10 E. ∠4
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12/15/21
Joshua S.
tutor
We will use properties of two parallel lines and a transversal to solve this problem. Note that Brodie Lane and Grey Drive are parallel since they are both horizontal lines (same slope of 0). That being said, we will find that angles 2-4 and 9-12 are related to Angle 1 in SOME way (they are either congruent or supplementary to the angle).
The measures of angles 5-8 are all 90 degrees since they are formed by the intersection of a horizontal line and vertical line. Since Angle 1 can be proven to NOT be a right angle, it is safe to conclude that Angles 5-8 will not be included in our answer (since it is impossible for them to be supplementary to 1).
Angles 2 and 4 are supplementary (or equal to 180-x) to Angle 1 by the Linear Pair Theorem. By the Corresponding Angles Theorem, Angles 2 and 10 are congruent and Angles 4 and 12 are congruent. By the substitution or transitive property, you can deduce that Angles 2, 4, 10, and 12 are all congruent AND supplementary to Angle 1. Thus choice D and E are you answers.
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12/18/21
Faiza A.
IMAGE IS NOT GOING, IS THERE ANY WAY I CAN SEND THE IMAGE12/14/21