Answer: < KJL is 218 degrees
Explanation:
To find the measure of angle KJL, we can use the fact that the sum of angles around a point is 360 degrees. In this case, angle 1 and angle 2 together form a straight line, so their measures add up to 180 degrees.
m∠1 + m∠2 = 180 degrees
Given that m∠1 is 99 degrees and m∠2 is 43 degrees:
99 degrees + 43 degrees = 142 degrees
Now, we know that the sum of the measures of angles KJL (m∠KJL), angle 1 (m∠1), and angle 2 (m∠2) around point J is 360 degrees:
m∠KJL + m∠1 + m∠2 = 360 degrees
We've already found that m∠1 + m∠2 is 142 degrees:
m∠KJL + 142 degrees = 360 degrees
Now, isolate m∠KJL:
m∠KJL = 360 degrees - 142 degrees
m∠KJL = 218 degrees
So, the measure of angle KJL (m∠KJL) is 218 degrees.