Question

Find the measure in degrees of angle MKL.

M
N
155°
?
КК
75°
U
L

Answer 1

mMKL = 115°

Explanation:

Using the property of intersecting chords in a circle, we have that one angle in the intersecting point is the average of the arcs intercepted by the angle and its vertical angle.

So, to find the measure of the angle MKL, we have:

mMKL = (1/2) * (mML + mNU)

mMKL = (1/2) * (155 + 75)

mMKL = (1/2) * (230)

mMKL = 115°