Work out the size of angle x Next to 164 and 90
1 answer:
You might be interested in
The slopes of two parallel lines must be identical.
We have slope
, so the slope for the parallel line be the same.
Now, to find an equation that also passes through the given point, we use slope-point form,
, where our point 
is substituted for 
.
Now, we convert to slope-intercept form as such.
And we are done. :) We can verify graphically that these are indeed parallel lines. See attached.
We have slope
Now, to find an equation that also passes through the given point, we use slope-point form,
Now, we convert to slope-intercept form as such.
And we are done. :) We can verify graphically that these are indeed parallel lines. See attached.
Given:
A figure of a circle and two secants on the circle from the outside of the circle.
To find:
The measure of angle KLM.
Solution:
According to the intersecting secant theorem, if two secant of a circle intersect each other outside the circle, then the angle formed on the intersection is half of the difference between the intercepted arcs.
Using intersecting secant theorem, we get
Multiply both sides by 2.
Isolate the variable x.
Divide both sides by 7.
Now,
Therefore, the measure of angle KLM is 113 degrees.