Both angles have a measure of 125°.
<h3>
How to find the measure of the angles?</h3>
Assuming the two horizontal lines are parallel, we know that the measure of the two indicated angles must be the same one.
Then:
-1 + 14x = 12x + 17
Now we need to solve this for x:
14x - 12x = 17 + 1
2x = 18
x =18/2 = 9
Now that we know the value of x we can replace it in any of the expressions for the angles:
-1 + 14*9 = 125°
Both angles have a measure of 125°.
If you want to learn more about angles:
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Answer:
Reason 3. Congruence of segments is reflexive
Reason 4. SSS
Answer:the answer is 75.36,50.24
check the picture below.
so red line of BD is perpendicular to AC, hmmmm let's firstly find the slope of AC, bearing in mind that perpendicular lines have <u>negative reciprocal</u> slopes.
![\bf A(\stackrel{x_1}{-4}~,~\stackrel{y_1}{-2})\qquad C(\stackrel{x_2}{18}~,~\stackrel{y_2}{-8}) \\\\\\ slope = m\implies \cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{-8-(-2)}{18-(-4)}\implies \cfrac{-8+2}{18+4} \\\\\\ \cfrac{-6}{22}\implies -\cfrac{3}{11} \\\\[-0.35em] \rule{34em}{0.25pt}](https://tex.z-dn.net/?f=%5Cbf%20A%28%5Cstackrel%7Bx_1%7D%7B-4%7D~%2C~%5Cstackrel%7By_1%7D%7B-2%7D%29%5Cqquad%20C%28%5Cstackrel%7Bx_2%7D%7B18%7D~%2C~%5Cstackrel%7By_2%7D%7B-8%7D%29%20%5C%5C%5C%5C%5C%5C%20slope%20%3D%20m%5Cimplies%20%5Ccfrac%7B%5Cstackrel%7Brise%7D%7B%20y_2-%20y_1%7D%7D%7B%5Cstackrel%7Brun%7D%7B%20x_2-%20x_1%7D%7D%5Cimplies%20%5Ccfrac%7B-8-%28-2%29%7D%7B18-%28-4%29%7D%5Cimplies%20%5Ccfrac%7B-8%2B2%7D%7B18%2B4%7D%20%5C%5C%5C%5C%5C%5C%20%5Ccfrac%7B-6%7D%7B22%7D%5Cimplies%20-%5Ccfrac%7B3%7D%7B11%7D%20%5C%5C%5C%5C%5B-0.35em%5D%20%5Crule%7B34em%7D%7B0.25pt%7D)

so we're really looking for the equation of a line whose slope is 11/3 and runs through B(4,4). Keeping in mind that
standard form for a linear equation means
• all coefficients must be integers, no fractions
• only the constant on the right-hand-side
• all variables on the left-hand-side, sorted
• "x" must not have a negative coefficient

