Question

Given: m∠JAK = 123° pick 1

If ∠JAM and ∠JAK are supplementary angles, then what is the measure of ∠KAL?
A.
55°
B.
57°
C.
60°
D.
33°

Answer 1

If angles ∠JAM and ∠JAK are supplementary, it means that the sum of their measures is 180°. Given that m∠JAK = 123°, we can find m∠JAM as follows:

m∠JAM + m∠JAK = 180°
m∠JAM + 123° = 180°

Now, subtract 123° from both sides:

m∠JAM = 180° - 123°
m∠JAM = 57°

Now that we have m∠JAM, we can assume that ∠KAL is the same as ∠JAM for this problem, unless stated otherwise.

Therefore, m∠KAL = 57°.

So the answer is:
B. 57°