Supplementary angles will always add up to 180. If you had a straight line, and you drew another line across that line, the two angles on either side of that line would add up to 180 because a flat line is equal to 180 degrees.
Answer:
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Answer:
m∠ABD = 20°
Step-by-step explanation:
The bisector makes angles ABD and BDC congruent, so ...
7x -1 = 4x +8
3x = 9 . . . . . . add 1-4x to both sides
x = 3
m∠ABD = (7x-1)° = (7·3 -1)°
m∠ABD = 20°
Answer:

Step-by-step explanation:
The slope-intercept form of an equation of a line:

m - slope
b - y-intercept → (0, b)
From the graph we have the points (4, 4) and (0, 3) → b = 3.
We have the equation:

The formula of a slope:

Put the coordinates of the points:

Finally we have:
