Major arc BLJ measures 249 degrees. Find the measure in degrees of angle K.
2490
B
J
L
K?
K

m∠K = 69°

Step-by-step explanation:

"When two tangents or secants intersect outside the circle, exterior angle formed between the tangents of secants is one half the difference of major and minor arcs"

By this theorem,

m(∠K) =

Here, = 249°

= 360° - 249°

          = 111°

m∠K =

        =

        = 69°

Therefore, measure of angle K = 69° will be the answer.

check the picture below.

well, the angle at the vertex d is clearly not a right-angle, let's check for the one at the vertex f which does look like,   however if it's indeed, that means ef is perpendicular to df, in which case their slopes will be negative reciprocal of each other.

so the negative reciprocal of the slope of ef is 1, however the slope of df is not 1, is 1/2, so nope, they're not perpendicular lines.

step-by-step explanation: