What is the value of x which proves that the runways are parallel? What is the measure of the larger angle?
2 answers:
Answer:
The correct option is C.
Step-by-step explanation:
if a transversal line intersect two parallel lines then the sum of two consecutive exterior angles is 180 degrees.
The two consecutive exterior angles are 3x+32 and x+48.
The value of x is 25.
The measure of two consecutive exterior angles are
The measure of the larger angle is 107 degrees.
Therefore the correct option is C.
You might be interested in
Factor by grouping
Answer:
Step-by-step explanation:
Given
Required
Find a and b
Substitute for x and y in
Rewrite as:
The above implies that (a) is correct;
Hence:
So, the equation is:
If we need our line to pass through point C, then we have to use the x and coordinates of point C in our new equation. If that line is to be perpendicular to AB, we also need to find the slope of AB and then take its opposite reciprocal. First things first. Point C lies at (6, 4) so we will use x = 6 and y = 4 in our equation in a bit. The coordinates of A are (-2, 4) and the coordinates of B are (2, -8) so the slope between them is 
which is -3. The opposite reciprocal of -3 is 1/3. That's the slope we will use along with the points from C to write the new equation. We will do this by plugging in x, y, and m (slope) into the slope-intercept form of a line and solve for b. 
and 4 = 2 + b. So b = 2. That's the y-intercept, the point on the y axis where the line goes through when x is 0. Therefore, the point you're looking for is (0, 2).