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Find the measure of the angle.

Find the measure of the angle.-example-1
User Dallana
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2 Answers

18 votes
18 votes

Answer:

m<JKN = 62°

Explanation:

m<JKL+ m<LKM = m<JKM

m<LKM = 44°

m<JKM = 84°

m<JKL+ 44° = 84°

m<JKL = 40°

m<LKN = m<NKM

m<LKN + m<NKM = m<LKM

m<LKN + m<NKM = 44°

m<LKN + m<NKM = 44°

2m<LKN = 44°

m<LKN = 22°

m<JKN = m<JKL + m<LKN

m<JKN = 40° + 22°

m<JKN = 62°

User Ayala
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2.4k points
16 votes
16 votes
In the information we know that the total degree of the biggest angle on there, JKM, is 84 degrees. LKM is 44 degrees with KN bisecting it, meaning that the angles LKN and NKM must have the same degree value. Since they each make up half of angle LKM, this means they’re both half of 44 degrees, or 22 degrees each.

In order to find angle JKN, you need to subtract NKM from JKM. The angles for both of these have already been established above, which means we have the following equation

84 - 22 = JKN.

From there, it’s just simple subtraction to find the value of the angle

62 = JKN

Meaning that angle JKN is 62 degrees.

Hope this helped!