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In the figure below, m < 1=99 degrees and m < 2=43 degrees. Find m < KJL

User NewTag
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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.

User Kaweesha
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