Answer:
25 degrees
Step-by-step explanation:
The sum of the 80 and 55 degree angles and the unknown angle x must be 180 degrees. Thus, x + 80 + 55 = 180, or x + 155 = 180, or x = 25.
x is 25 degrees.
This is based upon the "corresponding angles" principle. Lines AB and CD are parallel and are intersected by the longer diagonal line if we extend this line past the 80 and 55 degree angles.
Answer:
Steps 3 and 4 are incorrect because
(a) An incorrect value for slope was obtained in step 3.
(b) The incorrect value for the slope was used in step 4.
Explanation:
Let us evaluate Talia's steps.
Step 1: Select (2, 5) as a point on the line.
CORRECT
Step 2: Select another point (1, 3) on the line.
CORRECT
Step 3: Count units to the right and count units up, to determine the slope.
Units right = 2 - 1 = 1
Units up = 5 - 3 = 2
Slope = (Units up)/(Units right) = 2/1 = 2
INCORRECT because Talia did not obtain a slope of 2.
Step 4: Substitute obtained values in the point-slope form.
(y - y1) = m(x - x1). If we select the point (1, 3), then
y - 2 = 2(x - 1).
Talia's equation is INCORRECT because she used an incorrect value
for the slope.
It can lower or higher it making it easyer
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